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Higher order trace relations for Schrödinger operators

Gesztesy, F. and Holden, H. and Simon, B. and Zhao, Z. (1995) Higher order trace relations for Schrödinger operators. Reviews in Mathematical Physics, 7 (6). pp. 893-922. ISSN 0129-055X. doi:10.1142/S0129055X95000347.

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We extend the trace formula recently proven for general one-dimensional Schrödinger operators which obtains the potential V(x) from a function ξ(x, λ) by deriving trace relations computing moments of ξ(λ, x) dλ in terms of polynomials in the derivatives of V at x. We describe the relation of those polynomials to KdV invariants. We also discuss trace formulae for analogs of ξ associated with boundary conditions other than the Dirichlet boundary condition underlying ξ.

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Simon, B.0000-0003-2561-8539
Additional Information:© 1995 World Scientific. Received: 14 November 1994. This material is based upon work supported by the National Science Foundation under Grant No. DMS-9101715. The Government has certain rights in this material. F.G. is indebted to the Department of Mathematical Sciences of the University of Trondheim, NTH, Norway, and the Department of Mathematics at Caltech Pasadena, CA for the hospitality extended to him in the summer of 1993. Support by the Norwegian Research Council for Science and the Humanities (NAVF) (F.G. and H.H.) and by Caltech (F.G.) is gratefully acknowledged.
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Norwegian Research Council for Science and the Humanities (NAVF)UNSPECIFIED
Issue or Number:6
Record Number:CaltechAUTHORS:20170918-092925572
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Official Citation:HIGHER ORDER TRACE RELATIONS FOR SCHRÖDINGER OPERATORS F. GESZTESY, H. HOLDEN, B. SIMON, and Z. ZHAO Reviews in Mathematical Physics 1995 07:06, 893-922
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81517
Deposited By: Ruth Sustaita
Deposited On:19 Sep 2017 20:59
Last Modified:15 Nov 2021 19:44

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