Title of article
Semiclassical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space
Author/Authors
Shigeki Aida، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
24
From page
401
To page
424
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
Keywords
Semiclassical limit , Infinite dimensional space , Schro¨ dinger operator , Lowest eigenvalue , Logarithmic Sobolev inequality , Laplace method
Journal title
Journal of Functional Analysis
Serial Year
2003
Journal title
Journal of Functional Analysis
Record number
761661
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