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Number of items: 194.

2019

Martínez–Finkelshtein, Andrei and Simanek, Brian and Simon, Barry (2019) Poncelet's theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators. Advances in Mathematics, 349 . pp. 992-1035. ISSN 0001-8708. http://resolver.caltech.edu/CaltechAUTHORS:20190430-104322593

Simon, Barry (2019) Tosio Kato’s Work on Non-relativistic Quantum Mechanics: A Brief Report. In: Analysis and Operator Theory: Dedicated in Memory of Tosio Kato’s 100th Birthday. Springer Optimization and Its Applications. No.146. Springer International Publishing , Cham, Switzerland, pp. 353-378. ISBN 9783030126605. http://resolver.caltech.edu/CaltechAUTHORS:20190531-154921211

Christiansen, Jacob S. and Simon, Barry and Yuditskii, Peter et al. (2019) Asymptotics of Chebyshev Polynomials, II. DCT Subsets of ℝ. Duke Mathematical Journal, 168 (2). pp. 325-349. ISSN 0012-7094. http://resolver.caltech.edu/CaltechAUTHORS:20180807-124147489

2018

Christiansen, Jacob S. and Simon, Barry and Zinchenko, Maxim (2018) Asymptotics of Chebyshev Polynomials, IV. Comments on the Complex Case. . (Unpublished) http://resolver.caltech.edu/CaltechAUTHORS:20190501-093308068

Breuer, Jonathan and Simon, Barry and Zeitouni, Ofer (2018) Large Deviations and Sum Rules for Spectral Theory - A Pedagogical Approach. Journal of Spectral Theory, 8 (4). pp. 1551-1581. ISSN 1664-039X. http://resolver.caltech.edu/CaltechAUTHORS:20170509-081147843

Breuer, Jonathan and Simon, Barry and Zeitouni, Ofer (2018) Large Deviations and the Lukic Conjecture. Duke Mathematical Journal, 167 (15). pp. 2857-2902. ISSN 0012-7094. http://resolver.caltech.edu/CaltechAUTHORS:20170509-082734416

Simon, Barry (2018) Tosio Kato’s work on non-relativistic quantum mechanics: part 1. Bulletin of Mathematical Sciences, 8 (1). pp. 121-232. ISSN 1664-3607. http://resolver.caltech.edu/CaltechAUTHORS:20180222-133447211

Simon, Barry (2018) Tosio Kato’s work on non-relativistic quantum mechanics: part 2. Bulletin of Mathematical Sciences . ISSN 1664-3607. (In Press) http://resolver.caltech.edu/CaltechAUTHORS:20180222-132115517

Simon, Barry (2018) Tosio Kato's Work on Non-Relativistic Quantum Mechanics: A Brief Report. IAMP News Bulletin . pp. 6-25. ISSN 2304-7348. http://resolver.caltech.edu/CaltechAUTHORS:20190610-130435055

2017

Puhalskii, A. and Simon, Barry (2017) A large-population limit for a Markovian model of group-structured populations. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20180806-145540097

Christiansen, Jacob S. and Simon, Barry and Zinchenko, Maxim (2017) Asymptotics of Chebyshev Polynomials, III. Sets Saturating Szegő, Schiefermayr, and Totik--Widom Bounds. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20180807-111909106

Böttcher, Albrecht and Simon, Barry and Spitkovsky, Ilya (2017) Similarity Between Two Projections. Integral Equations and Operator Theory, 89 (4). pp. 507-518. ISSN 0378-620X. http://resolver.caltech.edu/CaltechAUTHORS:20171121-100155399

Simon, Barry (2017) Tosio Kato's Work on Non-Relativistic Quantum Mechanics: An Outline. . (Unpublished) http://resolver.caltech.edu/CaltechAUTHORS:20190610-130001875

Frank, Rupert L. and Simon, Barry (2017) Eigenvalue bounds for Schrödinger operators with complex potentials. II. Journal of Spectral Theory, 7 (3). pp. 633-658. ISSN 1664-039X. http://resolver.caltech.edu/CaltechAUTHORS:20170502-082840587

Simon, Barry (2017) Unitaries permuting two orthogonal projections. Linear Algebra and its Applications, 528 . pp. 436-441. ISSN 0024-3795. http://resolver.caltech.edu/CaltechAUTHORS:20170509-073922440

Simon, Barry (2017) A Cayley-Hamiltonian Theorem for Periodic Finite Band Matrices. In: Functional analysis and operator theory for quantum physics : Pavel Exner anniversary volume. EMS Publishing House , Zurich, Switzerland, pp. 525-529. ISBN 978-3-03719-175-0. http://resolver.caltech.edu/CaltechAUTHORS:20170508-161208689

Christiansen, Jacob S. and Simon, Barry and Zinchenko, Maxim (2017) Asymptotics of Chebyshev polynomials, I: subsets of ℝ. Inventiones Mathematicae, 208 (1). pp. 217-245. ISSN 0020-9910. http://resolver.caltech.edu/CaltechAUTHORS:20161109-142515049

Frank, Rupert L. and Lemm, Marius and Simon, Barry (2017) Condensation of fermion pairs in a domain. Calculus of Variations and Partial Differential Equations, 56 . Art. No. 54. ISSN 0944-2669. http://resolver.caltech.edu/CaltechAUTHORS:20170428-160716872

2015

Krüger, Helge and Simon, Barry (2015) Cantor polynomials and some related classes of OPRL. Journal of Approximation Theory, 191 . pp. 71-93. ISSN 0021-9045. http://resolver.caltech.edu/CaltechAUTHORS:20150326-081223615

2014

Simon, Barry (2014) Ed Nelson's Work in Quantum Theory. In: Diffusion, Quantum Theory, and Radically Elementary Mathematics. Princeton University Press , Princeton, NJ, pp. 75-94. ISBN 978-1-4008-6525-3. http://resolver.caltech.edu/CaltechAUTHORS:20180802-142924769

Breuer, Jonathan and Last, Yoram and Simon, Barry (2014) Stability of Asymptotics of Christoffel–Darboux Kernels. Communications in Mathematical Physics, 330 (3). pp. 1155-1178. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20140814-112606518

2013

Simon, B. (2013) Spectral Theory of Orthogonal Polynomials. In: XVIIth International Congress on Mathematical Physics. World Scientific Publishing , Hackensack, NJ, pp. 217-228. ISBN 9789814449243. http://resolver.caltech.edu/CaltechAUTHORS:20141031-135217196

Christiansen, Jacob S. and Simon, Barry and Zinchenko, Maxim (2013) Finite gap Jacobi matrices: A review. In: Spectral Analysis, Differential Equations and Mathematical Physics. Proceedings of Symposia in Pure Mathematics. No.87. American Mathematical Society , Providence, Rhode Island, pp. 87-103. ISBN 978-0821875742. http://resolver.caltech.edu/CaltechAUTHORS:20140317-145017007

Holden, Helge and Gesztesy, Fritz and Simon, Barry and Teschl, Gerald (2013) Spectral analysis, differential equations, and mathematical physics : a festschrift in honor of Fritz Gesztesy's 60th birthday. Proceedings of Symposia in Pure Mathematics. Vol.87. American Mathematical Society , Providence, RI. ISBN 978-0-8218-7574-2. http://resolver.caltech.edu/CaltechAUTHORS:20180806-091538693

2012

Christiansen, Jacob S. and Simon, Barry and Zinchenko, Maxim (2012) Finite Gap Jacobi Matrices, III. Beyond the Szegő Class. Constructive Approximation, 35 (2). pp. 259-272. ISSN 0176-4276. http://resolver.caltech.edu/CaltechAUTHORS:20120319-093342145

2011

Martínez-Finkelshtein, Andrei and Simon, Barry (2011) Asymptotics of the L^2 norm of derivatives of OPUC. Journal of Approximation Theory, 163 (6). pp. 747-778. ISSN 0021-9045. http://resolver.caltech.edu/CaltechAUTHORS:20110610-081439616

Christiansen, Jacob S. and Simon, Barry and Zinchenko, Maxim (2011) Finite Gap Jacobi Matrices, II. The Szegő Class. Constructive Approximation, 33 (3). pp. 365-403. ISSN 0176-4276. http://resolver.caltech.edu/CaltechAUTHORS:20110414-085411774

Frank, Rupert L. and Simon, Barry (2011) Critical Lieb-Thirring bounds in gaps and the generalized Nevai conjecture for finite gap Jacobi matrices. Duke Mathematical Journal, 157 (3). pp. 461-493. ISSN 0012-7094. http://resolver.caltech.edu/CaltechAUTHORS:20110502-112300651

Breuer, Jonathan and Simon, Barry (2011) Natural boundaries and spectral theory. Advances in Mathematics, 226 (6). pp. 4902-4920. ISSN 0001-8708. http://resolver.caltech.edu/CaltechAUTHORS:20110328-100710731

Simon, Barry (2011) Convexity: An Analytic Viewpoint. Cambridge Tracts in Mathematics. No.187. Cambridge University Press , Cambridge. ISBN 9781107007314. http://resolver.caltech.edu/CaltechAUTHORS:20180808-075325457

Simon, Barry (2011) On the Removal of Finite Discrete Spectrum by Coefficient Stripping. Journal of Spectral Theory, 1 (1). pp. 81-85. ISSN 1664-039X. http://resolver.caltech.edu/CaltechAUTHORS:20111219-134707644

2010

Breuer, Jonathan and Last, Yoram and Simon, Barry (2010) The Nevai Condition. Constructive Approximation, 32 (2). pp. 221-254. ISSN 0176-4276. http://resolver.caltech.edu/CaltechAUTHORS:20100830-143634133

Christiansen, Jacob S. and Simon, Barry and Zinchenko, Maxim (2010) Finite Gap Jacobi Matrices, I. The Isospectral Torus. Constructive Approximation, 32 (1). pp. 1-65. ISSN 0176-4276. http://resolver.caltech.edu/CaltechAUTHORS:20100713-080234381

Poltoratski, Alexei and Simon, Barry and Zinchenko, Maxim (2010) The Hilbert transform of a measure. Journal d'Analyse Mathématique, 111 (1). pp. 247-265. ISSN 0021-7670. http://resolver.caltech.edu/CaltechAUTHORS:20110201-094527717

Damanik, David and Killip, Rowan and Simon, Barry (2010) Perturbations of orthogonal polynomials with periodic recursion coefficients. Annals of Mathematics, 171 (3). pp. 1931-2010. ISSN 0003-486X. http://resolver.caltech.edu/CaltechAUTHORS:20100803-145828608

Breuer, Jonathan and Ryckman, Eric and Simon, Barry (2010) Equality of the Spectral and Dynamical Definitions of Reflection. Communications in Mathematical Physics, 295 (2). pp. 531-550. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20100301-083137497

Avila, Artur and Last, Yoram and Simon, Barry (2010) Bulk universality and clock spacing of zeros for ergodic Jacobi matrices with absolutely continuous spectrum. Analysis & PDE, 3 (1). pp. 81-108. ISSN 1948-206X. http://resolver.caltech.edu/CaltechAUTHORS:20100928-144330506

Simon, Barry (2010) Fine Structure of the Zeros of Orthogonal Polynomials: A Progress Report. In: Recent Trends in Orthogonal Polynomials and Approximation Theory. Contemporary Mathematics . No.507. American Mathematical Society , Providence, RI, pp. 241-254. ISBN 978-0-8218-4803-6 . http://resolver.caltech.edu/CaltechAUTHORS:20100715-092306403

Simon, Barry (2010) Szegő's Theorem and Its Descendants: Spectral Theory for L^2 Perturbations of Orthogonal Polynomials. Princeton University Press , Princeton, NJ. ISBN 9780691147048. http://resolver.caltech.edu/CaltechAUTHORS:20180808-092107298

2009

Christiansen, Jacob S. and Simon, Barry and Zinchenko, Maxim (2009) Finite gap Jacobi matrices: An announcement. Journal of Computational and Applied Mathematics, 233 (3). pp. 652-662. ISSN 0377-0427. http://resolver.caltech.edu/CaltechAUTHORS:20091130-115048841

Cantero, María José and Simon, Barry (2009) Poisson brackets of orthogonal polynomials. Journal of Approximation Theory, 158 (1). pp. 3-48. ISSN 0021-9045. http://resolver.caltech.edu/CaltechAUTHORS:20090728-075326318

Kreimer, Yury and Last, Yoram and Simon, Barry (2009) Monotone Jacobi parameters and non-Szegő weights. Journal of Approximation Theory, 157 (2). pp. 144-171. ISSN 0021-9045. http://resolver.caltech.edu/CaltechAUTHORS:20090903-110552245

Simon, Barry (2009) A Celebration of Jürg and Tom. Journal of Statistical Physics, 134 (5-6). pp. 809-812. ISSN 0022-4715. http://resolver.caltech.edu/CaltechAUTHORS:20090708-105847182

Simon, Barry (2009) Weak convergence of CD kernels and applications. Duke Mathematical Journal, 146 (2). pp. 305-330. ISSN 0012-7094. http://resolver.caltech.edu/CaltechAUTHORS:SIMdmj09

Simon, Barry (2009) Regularity and the Cesàro–Nevai class. Journal of Approximation Theory, 156 (2). pp. 142-153. ISSN 0021-9045. http://resolver.caltech.edu/CaltechAUTHORS:20090918-112109981

Simon, Barry (2009) Weak convergence of CD kernels and applications. Duke Mathematical Journal, 146 (2). pp. 305-330. ISSN 0012-7094. http://resolver.caltech.edu/CaltechAUTHORS:20180813-091037545

Simon, Barry (2009) Schrödinger operators with purely discrete spectrum. Methods of Functional Analysis and Topology, 15 (1). pp. 61-66. ISSN 1029-3531. http://resolver.caltech.edu/CaltechAUTHORS:20100617-144018858

Killip, Rowan and Simon, Barry (2009) Sum rules and spectral measures of Schrödinger operators with L^2 potentials. Annals of Mathematics, 170 (2). pp. 739-782. ISSN 0003-486X. http://resolver.caltech.edu/CaltechAUTHORS:20100108-193514874

2008

Simon, Barry (2008) Two extensions of Lubinsky’s universality theorem. Journal d'Analyse Mathématique, 105 (1). pp. 345-362. ISSN 0021-7670. http://resolver.caltech.edu/CaltechAUTHORS:SIMjam08

Frank, Rupert L. and Simon, Barry and Weidl, Timo (2008) Eigenvalue Bounds for Perturbations of Schrödinger Operators and Jacobi Matrices With Regular Ground States. Communications in Mathematical Physics, 282 (1). pp. 199-208. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20170408-144423477

Simon, Barry (2008) The Christoffel-Darboux Kernel. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20180815-095937666

Hundertmark, Dirk and Simon, Barry (2008) Eigenvalue bounds in the gaps of Schrödinger operators and Jacobi matrices. Journal of Mathematical Analysis and Applictions, 340 (2). pp. 892-900. ISSN 0022-247X. http://resolver.caltech.edu/CaltechAUTHORS:20091014-110720129

Last , Yoram and Simon, Barry (2008) Fine structure of the zeros of orthogonal polynomials IV: A priori bounds and clock behavior. Communications on Pure and Applied Mathematics, 61 (4). pp. 486-538. ISSN 0010-3640. http://resolver.caltech.edu/CaltechAUTHORS:20091016-144551584

Geszetsy, Fritz and Pushnitski, Alexander and Simon, Barry (2008) On the Koplienko Spectral Shift Function. I. Basics. Journal of Mathematical Physics, Analysis and Geometry, 4 (1). pp. 63-107. ISSN 1812-9471. http://resolver.caltech.edu/CaltechAUTHORS:GESjmpag08

2007

Simon, Barry (2007) Equilibrium measures and capacities in spectral theory. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20170512-091544520

Simon, Barry (2007) CMV matrices: Five years after. Journal of Computational and Applied Mathematics, 208 (1). pp. 120-154. ISSN 0377-0427. http://resolver.caltech.edu/CaltechAUTHORS:20100211-153106376

Simon, B. (2007) Meromorphic Jost functions and asymptotic expansions for Jacobi parameters. Functional Analysis and its Applications, 41 (2). pp. 143-153. ISSN 0016-2663 . http://resolver.caltech.edu/CaltechAUTHORS:20170809-102314012

Simon, Barry (2007) Rank one perturbations and the zeros of paraorthogonal polynomials on the unit circle. Journal of Mathematical Analysis and Applictions, 329 (1). pp. 376-382. ISSN 0022-247X. http://resolver.caltech.edu/CaltechAUTHORS:20170510-141814909

Simon, Barry (2007) Zeros of OPUC and long time asymptotics of Schur and related flows. Inverse Problems and Imaging, 1 (1). pp. 189-215. ISSN 1930-8345. http://resolver.caltech.edu/CaltechAUTHORS:20170726-115725562

Simon, Barry (2007) Fine Structure of the Zeros of Orthogonal Polynomials: A Review. In: Proceedings of the international conference, difference equations, special functions and orthogonal polynomials : Munich, Germany, 25-30 July 2005. World Scientific Publishing Co. , Singapore, pp. 636-653. ISBN 9789812706430. http://resolver.caltech.edu/CaltechAUTHORS:20110107-080243062

Simon, Barry (2007) Orthogonal polynomials with exponentially decaying recursion coefficients. In: Probability and mathematical physics : a volume in honor of Stanislav Molchanov. CRM Proceedings & Lecture Notes. No.42. American Mathematical Society , Providence, RI, pp. 453-463. ISBN 9780821840894. http://resolver.caltech.edu/CaltechAUTHORS:20110107-081647098

2006

Last, Yoram and Simon, Barry (2006) The Essential Spectrum of Schrödinger, Jacobi, and CMV Operators. Journal d'Analyse Mathématique, 98 (1). pp. 183-220. ISSN 0021-7670. http://resolver.caltech.edu/CaltechAUTHORS:20170726-123106726

Davies, E. B. and Simon, B. (2006) Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle. Journal of Approximation Theory, 141 (2). pp. 189-213. ISSN 0021-9045. http://resolver.caltech.edu/CaltechAUTHORS:20170512-073744225

Simon, Barry (2006) Fine structure of the zeros of orthogonal polynomials III: Periodic recursion coefficients. Communications on Pure and Applied Mathematics, 59 (7). pp. 1042-1062. ISSN 0010-3640. http://resolver.caltech.edu/CaltechAUTHORS:20170711-080502782

Damanik, David and Simon, Barry (2006) Jost functions and Jost solutions for Jacobi matrices, I. A necessary and sufficient condition for Szegő asymptotics. Inventiones Mathematicae, 165 (1). pp. 1-50. ISSN 0020-9910. http://resolver.caltech.edu/CaltechAUTHORS:20170725-145819291

Damanik, D. and Simon, B. (2006) Jost functions and Jost solutions for Jacobi matrices, II. Decay and analyticity. International Mathematics Research Notices, 2006 . Art. No. 19396. ISSN 1073-7928. http://resolver.caltech.edu/CaltechAUTHORS:20170711-081744987

Simon, Barry (2006) Aizenman's Theorem for Orthogonal Polynomials on the Unit Circle. Constructive Approximation, 23 (2). pp. 229-240. ISSN 0176-4276. http://resolver.caltech.edu/CaltechAUTHORS:20170726-134636444

Simon, Barry (2006) Fine structure of the zeros of orthogonal polynomials, I. A tale of two pictures. Electronic Transactions on Numerical Analysis, 25 . pp. 328-368. ISSN 1068-9613. http://resolver.caltech.edu/CaltechAUTHORS:SIMetna06

2005

Simon, Barry and Totik, Vilmos (2005) Limits of zeros of orthogonal polynomials on the circle. Mathematische Nachrichten, 278 (12-13). pp. 1615-1620. ISSN 1522-2616. http://resolver.caltech.edu/CaltechAUTHORS:20170408-133653793

Simon, Barry (2005) Meromorphic Szegő functions and asymptotic series for Verblunsky coefficients. Acta Mathematica, 195 (2). pp. 267-285. ISSN 0001-5962. http://resolver.caltech.edu/CaltechAUTHORS:20170801-082824529

Damanik, David and Killip, Rowan and Simon, Barry (2005) Schrödinger Operators with Few Bound States. Communications in Mathematical Physics, 258 (3). pp. 741-750. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20170726-130636631

Simon, Barry (2005) Fine structure of the zeros of orthogonal polynomials, II. OPUC with competing exponential decay. Journal of Approximation Theory, 135 (1). pp. 125-139. ISSN 0021-9045. http://resolver.caltech.edu/CaltechAUTHORS:20170512-073745361

Simon, Barry (2005) On a theorem of Kac and Gilbert. Journal of Functional Analysis, 223 (1). pp. 109-115. ISSN 0022-1236. http://resolver.caltech.edu/CaltechAUTHORS:20170510-131903213

Simon, Barry and Zlatoš, Andrej (2005) Higher-order Szegő theorems with two singular points. Journal of Approximation Theory, 134 (1). pp. 114-129. ISSN 0021-9045. http://resolver.caltech.edu/CaltechAUTHORS:20170512-073745126

Simon, Barry (2005) OPUC on one foot. Bulletin of the American Mathematical Society, 42 (4). pp. 431-460. ISSN 0273-0979. http://resolver.caltech.edu/CaltechAUTHORS:20110826-133837209

2004

Simon, Barry (2004) A canonical factorization for meromorphic Herglotz functions on the unit disk and sum rules for Jacobi matrices. Journal of Functional Analysis, 214 (2). pp. 396-409. ISSN 0022-1236. http://resolver.caltech.edu/CaltechAUTHORS:20170510-134147546

Gesztesy, Fritz and Simon, Barry (2004) Connectedness of the Isospectral Manifold for One-Dimensional Half-Line Schrödinger Operators. Journal of Statistical Physics, 116 (1-4). pp. 361-365. ISSN 0022-4715. http://resolver.caltech.edu/CaltechAUTHORS:20170801-075355675

Simon, Barry (2004) Orthogonal polynomials on the unit circle: New results. International Mathematics Research Notices, 2004 (53). pp. 2837-2880. ISSN 1073-7928. http://resolver.caltech.edu/CaltechAUTHORS:20110818-105014767

Hundertmark, Dirk and Simon, Barry (2004) A diamagnetic inequality for semigroup differences. Journal für die reine und angewandte Mathematik (Crelles Journal), 2004 (571). pp. 107-130. ISSN 0075-4102. http://resolver.caltech.edu/CaltechAUTHORS:20170524-141635977

Simon, Barry (2004) Ratio asymptotics and weak asymptotic measures for orthogonal polynomials on the real line. Journal of Approximation Theory, 126 (2). pp. 198-217. ISSN 0021-9045. http://resolver.caltech.edu/CaltechAUTHORS:20170512-073744838

Damanik, David and Killip, Rowan and Simon, Barry (2004) Necessary and Sufficient Conditions in the Spectral Theory of Jacobi Matrices and Schrödinger Operators. International Mathematics Research Notices, 2004 (22). pp. 1087-1097. ISSN 1073-7928. http://resolver.caltech.edu/CaltechAUTHORS:20110920-104550878

2003

Damanik, David and Hundertmark, Dirk and Simon, Barry (2003) Bound states and the Szegő condition for Jacobi matrices and Schrödinger operators. Journal of Functional Analysis, 205 (2). pp. 357-379. ISSN 0022-1236. http://resolver.caltech.edu/CaltechAUTHORS:20170602-143616540

Simon, Barry and Zlatoš, Andrej (2003) Sum Rules and the Szegő Condition for Orthogonal Polynomials on the Real Line. Communications in Mathematical Physics, 242 (3). pp. 393-423. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20170515-111325638

Killip, Rowan and Simon, Barry (2003) Sum rules for Jacobi matrices and their applications to spectral theory. Annals of Mathematics, 158 (1). pp. 253-321. ISSN 0003-486X. http://resolver.caltech.edu/CaltechAUTHORS:KILam05

Damanik, D. and Hundertmark, D. and Killip, R. et al. (2003) Variational Estimates for Discrete Schrödinger Operators with Potentials of Indefinite Sign. Communications in Mathematical Physics, 238 (3). pp. 545-562. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20170726-131903680

Kiselev, Alexander and Last, Yoram and Simon, Barry (2003) Stability of singular spectral types under decaying perturbations. Journal of Functional Analysis, 198 (1). pp. 1-27. ISSN 0022-1236. http://resolver.caltech.edu/CaltechAUTHORS:20170510-134955944

Simon, Barry (2003) The Golinskii-Ibragimov Method and a Theorem of Damanik and Killip. International Mathematics Research Notices, 2003 (36). pp. 1973-1986. ISSN 1073-7928. http://resolver.caltech.edu/CaltechAUTHORS:20111027-081142498

2002

Hundertmark, Dirk and Simon, Barry (2002) An optimal L^p-bound on the Krein spectral shift function. Journal d'Analyse Mathématique, 87 (1). pp. 199-208. ISSN 0021-7670. http://resolver.caltech.edu/CaltechAUTHORS:20170726-114229059

Hundertmark, Dirk and Simon, Barry (2002) Lieb–Thirring Inequalities for Jacobi Matrices. Journal of Approximation Theory, 118 (1). pp. 106-130. ISSN 0021-9045. http://resolver.caltech.edu/CaltechAUTHORS:20170512-073744584

2001

Kirsch, Werner and Simon, Barry (2001) Approach to equilibrium for a forced Burgers equation. Journal of Evolution Equations, 1 (4). pp. 411-419. ISSN 1424-3199. http://resolver.caltech.edu/CaltechAUTHORS:20170515-105645659

2000

Simon, Barry (2000) Resonances in One Dimension and Fredholm Determinants. Journal of Functional Analysis, 178 (2). pp. 396-420. ISSN 0022-1236. http://resolver.caltech.edu/CaltechAUTHORS:20170510-140505304

Ramm, Alexander and Simon, Barry (2000) A new approach to inverse spectral theory, III. Short-range potentials. Journal d’Analyse Mathématique, 80 (1). pp. 319-334. ISSN 0021-7670. http://resolver.caltech.edu/CaltechAUTHORS:20180320-094238430

Geszetsy, Fritz and Simon, Barry (2000) A new approach to inverse spectral theory, II. General real potentials and the connection to the spectral measure. Annals of Mathematics, 152 (2). pp. 593-643. ISSN 0003-486X. http://resolver.caltech.edu/CaltechAUTHORS:20111130-133257722

Gesztesy, Fritz and Simon, Barry (2000) Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum. Transactions of the American Mathematical Society, 352 (6). pp. 2765-2787. ISSN 0002-9947. http://resolver.caltech.edu/CaltechAUTHORS:20180511-153128441

Simon, Barry (2000) Schrödinger operators in the twentieth century. Journal of Mathematical Physics, 41 (6). pp. 3523-3555. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:SIMjmp00

Cordes, Heinz and Jensen, Arne and Kuroda, S. T. et al. (2000) Tosio Kato (1917–1999). Notices of the American Mathematical Society, 47 (6). pp. 650-657. ISSN 0002-9920. http://resolver.caltech.edu/CaltechAUTHORS:20111123-135717828

Gesztesy, Fritz and Simon, Barry (2000) On Local Borg–Marchenko Uniqueness Results. Communications in Mathematical Physics, 211 (2). pp. 273-287. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20170801-072515055

1999

Simon, Barry (1999) A new approach to inverse spectral theory, I. Fundamental formalism. Annals of Mathematics, 150 (3). pp. 1029-1057. ISSN 1012-2443 . http://resolver.caltech.edu/CaltechAUTHORS:SIMaom99

Kiselev, Alexander and Remling, Christian and Simon, Barry (1999) Effective Perturbation Methods for One-Dimensional Schrödinger Operators. Journal of Differential Equations, 151 (2). pp. 290-312. ISSN 0022-0396. http://resolver.caltech.edu/CaltechAUTHORS:20170906-131540684

Last, Yoram and Simon, Barry (1999) Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrödinger operators. Inventiones Mathematicae, 135 (2). pp. 329-367. ISSN 0020-9910. http://resolver.caltech.edu/CaltechAUTHORS:20180320-104319293

Gesztesy, Fritz and Simon, Barry (1999) On the determination of a potential from three spectra. In: Differential Operators and Spectral Theory. Translations. Series 2, American mathematical society. No.189. American Mathematical Society , Province, pp. 85-92. ISBN 978-0-8218-1387-4. http://resolver.caltech.edu/CaltechAUTHORS:20170918-110240939

1998

Simon, Barry (1998) The Classical Moment Problem as a Self-Adjoint Finite Difference Operator. Advances in Mathematics, 137 (1). pp. 82-203. ISSN 0001-8708. http://resolver.caltech.edu/CaltechAUTHORS:20170829-154200373

Kiselev, Alexander and Last, Yoram and Simon, Barry (1998) Modified Prüfer and EFGP Transforms and the Spectral Analysis of One-Dimensional Schrödinger Operators. Communications in Mathematical Physics, 194 (1). pp. 1-45. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20180320-092711915

Simon, Barry (1998) Spectral averaging and the Krein spectral shift. Proceedings of the American Mathematical Society, 126 (5). pp. 1409-1413. ISSN 0002-9939. http://resolver.caltech.edu/CaltechAUTHORS:20180511-153846768

Last, Yoram and Simon, Barry (1998) Modified Prüfer and EFGP Transforms and Deterministic Models with Dense Point Spectrum. Journal of Functional Analysis, 154 (2). pp. 513-530. ISSN 0022-1236. http://resolver.caltech.edu/CaltechAUTHORS:20170906-104652888

1997

del Rio, Rafael and Simon, Barry (1997) Point spectrum and mixed spectral types for rank one perturbations. Proceedings of the American Mathematical Society, 125 (12). pp. 3593-3599. ISSN 0002-9939. http://resolver.caltech.edu/CaltechAUTHORS:20180719-132519253

Gesztesy, Fritz and Simon, Barry (1997) m-Functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices. Journal d'Analyse Mathématique, 73 (1). pp. 267-297. ISSN 0021-7670. http://resolver.caltech.edu/CaltechAUTHORS:20180110-165033558

del Rio, Rafael and Gesztesy, Fritz and Simon, Barry (1997) Inverse spectral analysis with partial information on the potential. III. Updating boundary conditions. International Mathematics Research Notices, 1997 (15). pp. 751-758. ISSN 1073-7928. http://resolver.caltech.edu/CaltechAUTHORS:20170918-101826478

1996

Del Rio, R. and Jitomirskaya, S. and Last, Y. et al. (1996) Operators with singular continuous spectrum, IV. Hausdorff dimensions, rank one perturbations, and localization. Journal d’Analyse Mathématique, 69 (1). pp. 153-200. ISSN 0021-7670. http://resolver.caltech.edu/CaltechAUTHORS:20180315-134316740

Gesztesy, F. and Simon, B. and Teschl, G. (1996) Spectral deformations of one-dimensional Schrödinger operators. Journal d'Analyse Mathématique, 70 (1). pp. 267-324. ISSN 0021-7670. http://resolver.caltech.edu/CaltechAUTHORS:20180315-135902699

Gesztesy, F. and Holden, H. and Simon, B. et al. (1996) A Trace Formula for Multidimensional Schrödinger Operators. Journal of Functional Analysis, 141 (2). pp. 449-465. ISSN 0022-1236. http://resolver.caltech.edu/CaltechAUTHORS:20170912-095106346

Simon, Barry (1996) Bounded eigenfunctions and absolutely continuous spectra for one-dimensional Schrödinger operators. Proceedings of the American Mathematical Society, 124 (11). pp. 3361-3369. ISSN 0002-9939. http://resolver.caltech.edu/CaltechAUTHORS:20180511-162701951

Simon, Barry and Zhu, Yunfeng (1996) The Lyapunov Exponents for Schrödinger Operators with Slowly Oscillating Potentials. Journal of Functional Analysis, 140 (2). pp. 541-556. ISSN 0022-1236. http://resolver.caltech.edu/CaltechAUTHORS:20170809-105308934

Simon, B. and Stolz, G. (1996) Operators with singular continuous spectrum, V. Sparse potentials. Proceedings of the American Mathematical Society, 124 (7). pp. 2073-2080. ISSN 0002-9939. http://resolver.caltech.edu/CaltechAUTHORS:20180511-161415818

Gesztesy, F. and Simon, B. and Teschl, G. (1996) Zeros of the Wronskian and Renormalized Oscillation Theory. American Journal of Mathematics, 118 (3). pp. 571-594. ISSN 0002-9327. http://resolver.caltech.edu/CaltechAUTHORS:20170918-100353730

Simon, Barry (1996) Operators with singular continuous spectrum, VI. Graph Laplacians and Laplace-Beltrami operators. Proceedings of the American Mathematical Society, 124 (4). pp. 1177-1183. ISSN 0002-9939. http://resolver.caltech.edu/CaltechAUTHORS:20180320-112111420

Simon, Barry (1996) Operators with Singular Continuous Spectrum, VII. Examples with Borderline Time Decay. Communications in Mathematical Physics, 176 (3). pp. 713-722. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20180315-112637401

Gesztesy, F. and Simon, B. (1996) Uniqueness theorems in inverse spectral theory for one-dimensional Schrödinger operators. Transactions of the American Mathematical Society, 348 (1). pp. 349-373. ISSN 0002-9947. http://resolver.caltech.edu/CaltechAUTHORS:20120208-090710174

1995

Simon, B. (1995) L^p Norms of the Borel Transform and the Decomposition of Measures. Proceedings of the American Mathematical Society, 123 (12). pp. 3749-3755. ISSN 0002-9939. http://resolver.caltech.edu/CaltechAUTHORS:20180206-140113065

Hof, A. and Knill, O. and Simon, B. (1995) Singular Continuous Spectrum for Palindromic Schrödinger Operators. Communications in Mathematical Physics, 174 (1). pp. 149-159. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20180315-130513176

Del Rio, R. and Jitomirskaya, S. and Last, Y. et al. (1995) What is Localization? Physical Review Letters, 75 (1). pp. 117-119. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180413-113435667

Kiselev, A. and Simon, B. (1995) Rank One Perturbations with Infinitesimal Coupling. Journal of Functional Analysis, 130 (2). pp. 345-356. ISSN 0022-1236. http://resolver.caltech.edu/CaltechAUTHORS:20170906-141427255

Gesztesy, F. and Holden, H. and Simon, B. (1995) Absolute Summability of the Trace Relation for Certain Schrödinger Operators. Communications in Mathematical Physics, 168 (1). pp. 137-161. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20180315-131739823

Gesztesy, F. and Simon, B. (1995) Rank One Perturbations at Infinite Coupling. Journal of Functional Analysis, 128 (1). pp. 245-252. ISSN 0022-1236. http://resolver.caltech.edu/CaltechAUTHORS:20170906-143042594

Simon, Barry (1995) Operators with Singular Continuous Spectrum: I. General Operators. Annals of Mathematics, 141 (1). pp. 131-145. ISSN 0003-486X. http://resolver.caltech.edu/CaltechAUTHORS:20170808-151736465

Gesztesy, F. and Holden, H. and Simon, B. et al. (1995) Higher order trace relations for Schrödinger operators. Reviews in Mathematical Physics, 7 (6). pp. 893-922. ISSN 0129-055X. http://resolver.caltech.edu/CaltechAUTHORS:20170918-092925572

1994

Del Rio, R. and Makarov, N. and Simon, B. (1994) Operators with singular continuous spectrum: II. Rank one operators. Communications in Mathematical Physics, 165 (1). pp. 59-67. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20171120-161021287

Jitomirskaya, S. and Simon, B. (1994) Operators with singular continuous spectrum: III. Almost periodic Schrödinger operators. Communications in Mathematical Physics, 165 (1). pp. 201-205. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20171107-095819082

Del Rio, R. and Jitomirskaya, S. and Makarov, N. et al. (1994) Singular continuous spectrum is generic. Bulletin of the American Mathematical Society, 31 (2). pp. 208-212. ISSN 0273-0979. http://resolver.caltech.edu/CaltechAUTHORS:20180413-112754476

Avron, J. and Seiler, R. and Simon, B. (1994) The Index of a Pair of Projections. Journal of Functional Analysis, 120 (1). pp. 220-237. ISSN 0022-1236. http://resolver.caltech.edu/CaltechAUTHORS:20170906-144540972

Avron, Joseph E. and Seiler, Ruedi and Simon, Barry (1994) Charge deficiency, charge transport and comparison of dimensions. Communications in Mathematical Physics, 159 (2). pp. 399-422. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20171107-101426795

Simon, Barry (1994) Cyclic vectors in the Anderson model. Reviews in Mathematical Physics, 6 (5a). pp. 1183-1185. ISSN 0129-055X. http://resolver.caltech.edu/CaltechAUTHORS:20170918-091225249

del Rio, R. and Simon, B. and Stolz, G. (1994) Stability of Spectral Types for Sturm-Liouville Operators. Mathematical Research Letters, 1 (4). pp. 437-450. ISSN 1073-2780. http://resolver.caltech.edu/CaltechAUTHORS:20180719-140605491

1993

Gesztesy, F. and Holden, H. and Simon, B. et al. (1993) On the Toda and Kac-van Moerbeke systems. Transactions of the American Mathematical Society, 339 (2). pp. 849-868. ISSN 0002-9947. http://resolver.caltech.edu/CaltechAUTHORS:20180413-111511219

Gordon, Y. A. and Jakšić, V. and Molčanov, S. et al. (1993) Spectral Properties of Random Schrödinger Operators with Unbounded Potentials. Communications in Mathematical Physics, 157 (1). pp. 23-50. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20180315-110824542

Gesztesy, F. and Holden, H. and Simon, B. et al. (1993) Trace formulae and inverse spectral theory for Schrödinger operators. Bulletin of the American Mathematical Society, 29 (2). pp. 250-256. ISSN 0273-0979. http://resolver.caltech.edu/CaltechAUTHORS:20180413-112125582

Simon, Barry (1993) Large time behavior of the heat kernel: on a theorem of Chavel and Karp. Proceedings of the American Mathematical Society, 118 (2). pp. 513-514. ISSN 0002-9939. http://resolver.caltech.edu/CaltechAUTHORS:20180413-110907644

Graf, Gian Michele and Simon, B. (1993) Asymptotic Series for the Ground State Energy of Schrödinger Operators. Journal of Functional Analysis, 112 (2). pp. 442-446. ISSN 0022-1236. http://resolver.caltech.edu/CaltechAUTHORS:20170906-150023173

Gesztesy, F. and Simon, B. (1993) A Short Proof of Zheludev's Theorem. Transactions of the American Mathematical Society, 335 (1). pp. 329-340. ISSN 0002-9947. http://resolver.caltech.edu/CaltechAUTHORS:20171120-095049793

1992

Simon, Barry (1992) The Weyl Transform and L^p Functions on Phase Space. Proceedings of the American Mathematical Society, 116 (4). pp. 1045-1047. ISSN 0002-9939. http://resolver.caltech.edu/CaltechAUTHORS:20171120-104432614

Simon, Barry (1992) Best constants in some operator smoothness estimates. Journal of Functional Analysis, 107 (1). pp. 66-71. ISSN 0022-1236. http://resolver.caltech.edu/CaltechAUTHORS:20170905-100002232

Jakšić, V. and Molčanov, S. and Simon, B. (1992) Eigenvalue asymptotics of the Neumann Laplacian of regions and manifolds with cusps. Journal of Functional Analysis, 106 (1). pp. 59-79. ISSN 0022-1236. http://resolver.caltech.edu/CaltechAUTHORS:20170809-113325669

Simon, Barry (1992) The Neumann Laplacian of a jelly roll. Proceedings of the American Mathematical Society, 114 (3). pp. 783-785. ISSN 0002-9939. http://resolver.caltech.edu/CaltechAUTHORS:20180413-110242629

Davies, E. B. and Simon, B. (1992) Spectral properties of Neumann Laplacian of horns. Geometric and Functional Analysis, 2 (1). pp. 105-117. ISSN 1016-443X . http://resolver.caltech.edu/CaltechAUTHORS:20180314-071625612

Gesztesy, F. and Graf, G. M. and Simon, B. (1992) The ground state energy of Schrödinger operators. Communications in Mathematical Physics, 150 (2). pp. 375-384. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20180313-152512594

1991

Hempel, Rainer and Seco, Luis A. and Simon, Barry (1991) The essential spectrum of Neumann Laplacians on some bounded singular domains. Journal of Functional Analysis, 102 (2). pp. 448-483. ISSN 0022-1236. http://resolver.caltech.edu/CaltechAUTHORS:20170829-073525996

Davies, E. B. and Simon, B. (1991) L^p norms of non-critical Schrödinger semigroups. Journal of Functional Analysis, 102 (1). pp. 95-115. ISSN 0022-1236. http://resolver.caltech.edu/CaltechAUTHORS:20170830-081216215

Gesztesy, F. and Holden, H. and Saab, E. et al. (1991) Explicit construction of solutions of the modified Kadomtsev-Petviashvili equation. Journal of Functional Analysis, 98 (1). pp. 211-228. ISSN 0022-1236. http://resolver.caltech.edu/CaltechAUTHORS:20170810-072646814

Gesztesy, F. and Schweiger, W. and Simon, B. (1991) Commutation methods applied to the mKdV-equation. Transactions of the American Mathematical Society, 324 (2). pp. 465-525. ISSN 0002-9947. http://resolver.caltech.edu/CaltechAUTHORS:20170408-144611234

1990

Simon, Barry (1990) Absence of Ballistic Motion. Communications in Mathematical Physics, 134 (1). pp. 209-212. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20180315-132837134

Avron, Joseph E. and Seiler, Ruedi and Simon, Barry (1990) Quantum Hall effect and the relative index for projections. Physical Review Letters, 65 (17). pp. 2185-2188. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180313-142926573

Avron, J. and v. Mouche, P. H. M. and Simon, B. (1990) On the measure of the spectrum for the almost Mathieu operator. Communications in Mathematical Physics, 132 (1). pp. 103-118. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20171107-100226114

Carmona, René and Masters, Wen Chen and Simon, Barry (1990) Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions. Journal of Functional Analysis, 91 (1). pp. 117-142. ISSN 0022-1236. http://resolver.caltech.edu/CaltechAUTHORS:20180521-151747020

1988

Avron, J. E. and Sadun, L. and Segert, J. et al. (1988) Topological Invariants in Fermi Systems with Time-Reversal Invariance. Physical Review Letters, 61 (12). pp. 1329-1332. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180413-164425306

Englisch, H. and Kirsch, W. and Schroder, M. et al. (1988) Density of Surface States in Discrete Models. Physical Review Letters, 61 (11). pp. 1261-1262. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180413-164117904

1987

Bollé, D. and Gesztesy, F. and Grosse, H. et al. (1987) Witten index, axial anomaly, and Krein's spectral shift function in supersymmetric quantum mechanics. Journal of Mathematical Physics, 28 (7). pp. 1512-1525. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:20120622-081911618

1986

Simon, Barry (1986) Schrödinger semigroups on the scale of Sobolev spaces. Pacific Journal of Mathematics, 122 (2). pp. 475-480. ISSN 0030-8730. http://resolver.caltech.edu/CaltechAUTHORS:SIMpjm86

1985

Simon, Barry and Taylor, Michael and Wolff, Tom (1985) Some Rigorous Results for the Anderson Model. Physical Review Letters, 54 (14). pp. 1589-1592. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180417-104515007

Simon, Barry (1985) Almost periodic Schrödinger operators IV. The Maryland model. Annals of Physics, 159 (1). pp. 157-183. ISSN 0003-4916. http://resolver.caltech.edu/CaltechAUTHORS:20180720-164402687

1984

Simon, Barry (1984) Semiclassical analysis of low lying elgenvalues. III. Width of the ground state band in strongly coupled solids. Annals of Physics, 158 (2). pp. 415-420. ISSN 0003-4916. http://resolver.caltech.edu/CaltechAUTHORS:20180521-145200393

Delyon, Francois and Simon, Barry and Souillard, Bernard (1984) From Power-Localized to Extended States in a Class of One-Dimensional Disordered Systems. Physical Review Letters, 52 (24). pp. 2187-2189. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180417-104514705

Harrell, Evans M. and Corngold, Noel and Simon, Barry (1984) The mathematical theory of resonances whose widths are exponentially small, II. Journal of Mathematical Analysis and Applictions, 99 (2). pp. 447-457. ISSN 0022-247X. http://resolver.caltech.edu/CaltechAUTHORS:20180521-163704706

Lieb, Elliott H. and Sigal, Israel M. and Simon, Barry et al. (1984) Asymptotic Neutrality of Large-Z Ions. Physical Review Letters, 52 (12). pp. 994-996. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180417-104514421

1983

Simon, Barry (1983) Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase. Physical Review Letters, 51 (24). pp. 2167-2170. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180417-104514087

Avron, J. E. and Seiler, R. and Simon, B. (1983) Homotopy and Quantization in Condensed Matter Physics. Physical Review Letters, 51 (1). pp. 51-53. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180417-104513799

Avron, J. and Craig, W. and Simon, B. (1983) Large coupling behaviour of the Lyapunov exponent for tight binding one-dimensional random systems. Journal of Physics A: Mathematical and General, 16 (7). L209-L211. ISSN 0305-4470. http://resolver.caltech.edu/CaltechAUTHORS:AVRjpa83

Simon, Barry (1983) Equality of the density of states in a wide class of tight-binding Lorentzian random models. Physical Review B, 27 (6). pp. 3859-3860. ISSN 1098-0121. http://resolver.caltech.edu/CaltechAUTHORS:20180521-140632144

Simon, Barry (1983) Some quantum operators with discrete spectrum but classically continuous spectrum. Annals of Physics, 146 (1). pp. 209-220. ISSN 0003-4916. http://resolver.caltech.edu/CaltechAUTHORS:20180521-162122666

1982

Simon, Barry (1982) Continuity of the density of states in a magnetic field. Journal of Physics A: Mathematical and General, 15 (9). pp. 2981-2983. ISSN 0305-4470. http://resolver.caltech.edu/CaltechAUTHORS:20120717-114851010

1981

Simon, Barry (1981) Spectrum and continuum eigenfunctions of Schrödinger operators. Journal of Functional Analysis, 42 (3). pp. 347-355. ISSN 0022-1236. http://resolver.caltech.edu/CaltechAUTHORS:20180521-152345997

Avron, Joseph and Simon, Barry (1981) The Asymptotics of the Gap in the Mathieu Equation. Annals of Physics, 134 (1). pp. 76-84. ISSN 0003-4916. http://resolver.caltech.edu/CaltechAUTHORS:20180521-145909947

Avron, Joseph E. and Simon, Barry (1981) Almost Periodic Hill's Equation and the Rings of Saturn. Physical Review Letters, 46 (17). pp. 1166-1168. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180417-104513184

Simon, Barry (1981) Pointwise domination of matrices and comparison of ℐ_p norms. Pacific Journal of Mathematics, 97 (2). pp. 471-475. ISSN 0030-8730. http://resolver.caltech.edu/CaltechAUTHORS:SIMpjm81

1980

Klaus, M. and Simon, Barry (1980) Coupling Constant Thresholds in Nonrelativistic Quantum Mechanics. I. Short-Range Two-Body Case. Annals of Physics, 130 (2). pp. 251-281. ISSN 0003-4916. http://resolver.caltech.edu/CaltechAUTHORS:20180521-150501792

Schecter, M. and Simon, B. (1980) Unique continuation for Schrodinger operators with unbounded potentials. Journal of Mathematical Analysis and Applictions, 77 (2). pp. 482-492. ISSN 0022-247X. http://resolver.caltech.edu/CaltechAUTHORS:20180521-164135228

Miller, Keith and Simon, Barry (1980) Quantum Magnetic Hamiltonians with Remarkable Spectral Properties. Physical Review Letters, 44 (25). pp. 1706-1707. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180417-104512905

Simon, Barry (1980) Decay of Correlations in Ferromagnets. Physical Review Letters, 44 (8). pp. 547-549. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180417-104512511

Enss, V. and Simon, B. (1980) Bounds on Total Cross Sections in Atom-Atom and Atom-Ion Collisions by Geometric Methods. Physical Review Letters, 44 (5). pp. 319-322. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180417-124706801

1979

Avron, J. E. and Herbst, I. W. and Simon, B. (1979) Strongly bound states of hydrogen in intense magnetic field. Physical Review A, 20 (6). pp. 2287-2296. ISSN 0556-2791. http://resolver.caltech.edu/CaltechAUTHORS:20180417-154003229

Benassi, L. and Grecchi, V. and Harrell, E. et al. (1979) Bender-Wu Formula and the Stark Effect in Hydrogen. Physical Review Letters, 42 (11). pp. 704-707. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180417-154002869

1978

Herbst, I. W. and Simon, B. (1978) Stark Effect Revisited. Physical Review Letters, 41 (2). pp. 67-69. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180417-154002598

1977

Avron, J. and Herbst, I. and Simon, B. (1977) Formation of Negative Ions in Magnetic Fields. Physical Review Letters, 39 (17). pp. 1068-1070. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180417-154002275

1976

Dyson, Freeman J. and Lieb, Elliott H. and Simon, Barry (1976) Phase Transitions in the Quantum Heisenberg Model. Physical Review Letters, 37 (3). pp. 120-123. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180417-154001196

Simon, Barry (1976) Universal Diamagnetism of Spinless Bose Systems. Physical Review Letters, 36 (18). pp. 1083-1084. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180417-154000938

1975

Seiler, E. and Simon, B. (1975) An inequality among determinants. Proceedings of the National Academy of Sciences of the United States of America, 72 (9). pp. 3277-3278. ISSN 0027-8424. PMCID PMC432972. http://resolver.caltech.edu/CaltechAUTHORS:SEIpnas75

1973

Lieb, Elliott H. and Simon, Barry (1973) Thomas-Fermi Theory Revisited. Physical Review Letters, 31 (11). pp. 681-683. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180417-154000408

Simon, Barry and Griffiths, Robert B. (1973) Griffiths-Hurst-Sherman Inequalities and a Lee-Yang Therorem for the(ϕ^4)_2 Field Theory. Physical Review Letters, 30 (19). pp. 931-933. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180417-154000112

1972

Simon, Barry (1972) Summability Methods, the Strong Asymptotic Condition, and Unitarity in Quantum Field Theory. Physical Review Letters, 28 (17). pp. 1145-1146. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180417-153959845

1970

Simon, Barry (1970) Borel Summability of the Ground-State Energy in Spatially Cutoff (ϕ^4)_2. Physical Review Letters, 25 (22). pp. 1583-1586. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20180417-153959480

Simon, Barry (1970) Some Comments on the Jin-Martin Lower Bound. Physical Review D, 1 (4). pp. 1240-1241. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:20180417-154003485

1969

Loeffel, J. J. and Martin, A. and Simon, B. et al. (1969) Pade approximants and the anharmonic oscillator. Physics Letters B, 30 (9). pp. 656-658. ISSN 0370-2693. http://resolver.caltech.edu/CaltechAUTHORS:20181120-133838806

Simon, Barry (1969) On the Growth of the Ground‐State Binding Energy with Increase in Potential Strength. Journal of Mathematical Physics, 10 (8). pp. 1415-1421. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:20181119-161054026

Simon, Barry (1969) On the Growth of the Number of Bound States with Increase in Potential Strength. Journal of Mathematical Physics, 10 (7). pp. 1123-1126. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:20181120-133838721

Simon, B. (1969) Convergence of regularized, renormalized perturbation series for super-renormalizable field theories. Il Nuovo Cimento A Series 10, 59 (1). pp. 199-214. ISSN 0369-3546. http://resolver.caltech.edu/CaltechAUTHORS:20181120-145801316

This list was generated on Tue Jun 18 17:11:03 2019 PDT.