PATH INTEGRALS ON A COMPACT MANIFOLD WITH NON-NEGATIVE CURVATURE

DOI10.1142/S0129055X07003164zbMath1148.58005arXivmath/0612711MaRDI QIDQ3502911

Adrian P. C. Lim

Publication date: 20 May 2008

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612711

zbMATH Keywords

path integralRiemannian manifoldfinite dimensional approximation

Mathematics Subject Classification ID

Stochastic processes (60G99) Integration on manifolds; measures on manifolds (58C35) Applications of manifolds of mappings to the sciences (58D30) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07)

Related Items (5)

Approximation schemes for path integration on Riemannian manifolds ⋮ Heat kernel asymptotics, path integrals and infinite-dimensional determinants ⋮ Asymptotics of spectral gaps on loop spaces over a class of Riemannian manifolds ⋮ An approximation to Wiener measure and quantization of the Hamiltonian on manifolds with non-positive sectional curvature ⋮ \({\mathfrak D}\)-differentiation in Hilbert space and the structure of quantum mechanics

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