Semiclassical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space

Shigeki Aida

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We study a semiclassical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space. Key results are semiboundedness theorem of the Schrödinger operator, Laplace-type asymptotic formula and IMS localization formula. We also make a remark on the semiclassical problem of a Schrödinger operator on a path space over a Riemannian manifold.

Original languageEnglish
Pages (from-to)401-424
Number of pages24
JournalJournal of Functional Analysis
Volume203
Issue number2
DOIs
Publication statusPublished - 2003 Oct 1

Keywords

  • Infinite dimensional space
  • Laplace method
  • Logarithmic Sobolev inequality
  • Lowest eigenvalue
  • Schrödinger operator
  • Semiclassical limit

ASJC Scopus subject areas

  • Analysis

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