A Caltech Library Service

Absolute Summability of the Trace Relation for Certain Schrödinger Operators

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. doi:10.1007/BF02099586.

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item:


A recently established general trace formula for one-dimensional Schrödinger operators is systematically studied in the context of short-range potentials, potentials which approach different spatial asymptotes sufficiently fast, and appropriate impurity (defect) interactions in one-dimensional solids. We prove the absolute summability of the trace formula and establish its connections with scattering quantities, such as reflection coefficients, in each case.

Item Type:Article
Related URLs:
URLURL TypeDescription ReadCube access
Simon, B.0000-0003-2561-8539
Additional Information:© 1995 Springer-Verlag. Received: 4 February 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. We would like to thank Z. Zhao for numerous helpful discussions. F.G. is indebted to the Department of Mathematical Sciences of the University of Trondheim, 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 (NFR) and by Caltech is gratefully acknowledged. H.H. is grateful to the Norwegian Research Council (NFR) for support. Communicated by T. Spencer.
Funding AgencyGrant Number
Norwegian Research CouncilUNSPECIFIED
Subject Keywords:Reflection; Neural Network; Statistical Physic; Complex System; Nonlinear Dynamics
Issue or Number:1
Record Number:CaltechAUTHORS:20180315-131739823
Persistent URL:
Official Citation:Gesztesy, F., Holden, H. & Simon, B. Commun.Math. Phys. (1995) 168: 137.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:85334
Deposited By: Ruth Sustaita
Deposited On:16 Mar 2018 14:38
Last Modified:15 Nov 2021 20:27

Repository Staff Only: item control page