LAGRANGIAN AND HAMILTONIAN FEYNMAN FORMULAE FOR SOME FELLER SEMIGROUPS AND THEIR PERTURBATIONS

DOI10.1142/S0219025712500154zbMath1273.47070arXiv1203.1199OpenAlexW2167860785MaRDI QIDQ4902701

O. G. Smolyanov, Yana Kinderknecht, Rene L. Schilling

Publication date: 17 January 2013

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

Full work available at URL: https://arxiv.org/abs/1203.1199

zbMATH Keywords

Feynman-Kac formulaeapproximations of functional integralsFeynman formulaeapproximations of transition densities

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Diffusion processes (60J60) Transition functions, generators and resolvents (60J35) Schrödinger and Feynman-Kac semigroups (47D08) Representations of solutions to partial differential equations (35C99)

Related Items (14)

New method for constructing Chernoff functions ⋮ Feynman formulas for semigroups generated by an iterated Laplace operator ⋮ Progressive intrinsic ultracontractivity and heat kernel estimates for non-local Schrödinger operators ⋮ Solution of a Cauchy problem for a diffusion equation in a Hilbert space by a Feynman formula ⋮ Chernoff approximations of Feller semigroups in Riemannian manifolds ⋮ The Method of Chernoff Approximation ⋮ Chernoff approximation of subordinate semigroups ⋮ Analogs of the Lebesgue measure and diffusion in a Hilbert space ⋮ Feynman formulae and phase space Feynman path integrals for tau-quantization of some Lévy-Khintchine type Hamilton functions ⋮ Formulas that represent Cauchy problem solution for momentum and position Schrödinger equation ⋮ Diffusion on a Hilbert space equipped with a shift- and rotation-invariant measure ⋮ Chernoff approximation for semigroups generated by killed Feller processes and Feynman formulae for time-fractional Fokker-Planck-Kolmogorov equations ⋮ Explicit formula for evolution semigroup for diffusion in Hilbert space ⋮ Feynman formulas and path integrals for some evolution semigroups related to \(\tau\)-quantization

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