TY - JOUR
T1 - Semiclassical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space
AU - Aida, Shigeki
N1 - Funding Information:
This research was partially supported by Grant-in-Aid for Scientific Research (C) No. 12640173 and the Sumitomo Foundation.
PY - 2003/10/1
Y1 - 2003/10/1
N2 - 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.
AB - 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.
KW - Infinite dimensional space
KW - Laplace method
KW - Logarithmic Sobolev inequality
KW - Lowest eigenvalue
KW - Schrödinger operator
KW - Semiclassical limit
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U2 - 10.1016/S0022-1236(03)00178-2
DO - 10.1016/S0022-1236(03)00178-2
M3 - Article
AN - SCOPUS:0141726758
SN - 0022-1236
VL - 203
SP - 401
EP - 424
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 2
ER -