WITTEN LAPLACIAN ON PINNED PATH GROUP AND ITS EXPECTED SEMICLASSICAL BEHAVIOR

DOI10.1142/S0219025703001274zbMath1073.58026MaRDI QIDQ4661845

Shigeki Aida

Publication date: 30 March 2005

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

semiclassical analysisMorse functionWitten Laplacianpinned path group

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (5)

Semiclassical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space. ⋮ An approximation to Wiener measure and quantization of the Hamiltonian on manifolds with non-positive sectional curvature ⋮ 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 ⋮ Sharp tunneling estimates for a double-well model in infinite dimension

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