Semiclassical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space Dedicated to Professor Tokuzo Shiga on the occasion of his sixtieth birthday
نویسنده
چکیده
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 semiclassical problem of a Schrödinger operator on a path space over a Riemannian manifold. MSC: Primary 81Q20, Secondary 60H07, 35J10.
منابع مشابه
SEMI-CLASSICAL LIMIT OF THE LOWEST EIGENVALUE OF A SCHRÖDINGER OPERATOR ON A WIENER SPACE : I. UNBOUNDED ONE PARTICLE HAMILTONIANS by
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