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

DOI10.1016/S0022-1236(03)00178-2zbMath1038.81027WikidataQ125802421 ScholiaQ125802421MaRDI QIDQ1413978

Shigeki Aida

Publication date: 17 November 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorsemiclassical limitlowest eigenvalueinfinite dimensional spacetunneling phenomena

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (9)

Precise Laplace asymptotics for singular stochastic PDEs: the case of 2D gPAM ⋮ Laplace's method for the laws of heat processes on loop spaces ⋮ Asymptotics of spectral gaps on loop spaces over a class of Riemannian manifolds ⋮ On a certain semiclassical problem on Wiener spaces ⋮ Semi-classical limit of the bottom of spectrum of a Schrödinger operator on a path space over a compact Riemannian manifold ⋮ Tunneling for spatially cut-off \(P(\phi)_2\)-Hamiltonians ⋮ On the spectrum of semi-classical Witten-Laplacians and Schrödinger operators in large dimension ⋮ Sharp tunneling estimates for a double-well model in infinite dimension ⋮ Semi-classical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space. II: \(P(\phi)_2\)-model on a finite volume

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