A trace formula for discrete Schrödinger operators

Tomoyuki Shirai

Research output: Contribution to journal › Article

3 Citations (Scopus)

Abstract

We discuss two types of trace formula which arise from the inverse spectral problem for discrete Schrödinger operators as L = -Δ + V (x) where V is a bounded potential. One is the relationship between a potential and spectral data, and another is the one between the green function of L and periodic orbits of a state space.

Original languageEnglish
Pages (from-to)27-41
Number of pages15
JournalPublications of the Research Institute for Mathematical Sciences
Volume34
Issue number1
DOIs
Publication statusPublished - Jan 1 1998
Externally publishedYes

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Inverse Spectral Problem
Discrete Operators
Trace Formula
Periodic Orbits
Green's function
State Space
Relationships

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

A trace formula for discrete Schrödinger operators. / Shirai, Tomoyuki.

In: Publications of the Research Institute for Mathematical Sciences, Vol. 34, No. 1, 01.01.1998, p. 27-41.

Research output: Contribution to journal › Article

Shirai, T 1998, 'A trace formula for discrete Schrödinger operators', Publications of the Research Institute for Mathematical Sciences, vol. 34, no. 1, pp. 27-41. https://doi.org/10.2977/prims/1195144826
Shirai T. A trace formula for discrete Schrödinger operators. Publications of the Research Institute for Mathematical Sciences. 1998 Jan 1;34(1):27-41. https://doi.org/10.2977/prims/1195144826
Shirai, Tomoyuki. / A trace formula for discrete Schrödinger operators. In: Publications of the Research Institute for Mathematical Sciences. 1998 ; Vol. 34, No. 1. pp. 27-41.
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