An approximation to Wiener measure and quantization of the Hamiltonian on manifolds with non-positive sectional curvature-Reference-Cited by-同舟云学术

An approximation to Wiener measure and quantization of the Hamiltonian on manifolds with non-positive sectional curvature

Published:2013-10 Issue:8 Volume:265 Page:1667-1727
ISSN:0022-1236
Container-title:Journal of Functional Analysis
language:en
Short-container-title:Journal of Functional Analysis

Author:

Laetsch Thomas

Funder

National Science Foundation

Publisher

Elsevier BV

Subject

Analysis

Reference46 articles.

1. Laplacian on pinned path group and its expected semiclassical behavior;Aida Witten;Infin. Dimens. Anal. Quantum Probab. Relat. Top.,2003

2. Semi-classical limit of the bottom of spectrum of a Schrödinger operator on a path space over a compact Riemannian manifold;Aida;J. Funct. Anal.,2007

3. Finite dimensional approximations to wiener measure and path integral formulas on manifolds;Andersson;J. Funct. Anal.,1999

4. Path integrals on manifolds by finite dimensional approximation;Bär;J. Reine Angew. Math.,2008

5. Representations of the solution of the Cauchy–Dirichlet problem for the heat equation in a domain of a compact Riemannian manifold by functional integrals;Butko;Russ. J. Math. Phys.,2004

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Eisenhart-Duval lift for minisuperspace quantum cosmology;Physical Review D;2021-10-01

2. Stochastic Heat Equations with Values in a Manifold via Dirichlet Forms;SIAM Journal on Mathematical Analysis;2020-01

3. Heat kernel asymptotics, path integrals and infinite-dimensional determinants;Journal of Geometry and Physics;2018-09

4. Asymptotics of spectral gaps on loop spaces over a class of Riemannian manifolds;Journal of Functional Analysis;2015-12