Feynman formulae and phase space Feynman path integrals for tau-quantization of some Lévy-Khintchine type Hamilton functions

DOI10.1063/1.4940697zbMath1335.81103arXiv1311.2883OpenAlexW3101342010MaRDI QIDQ2795589

Martin Grothaus, O. G. Smolyanov, Yana Kinderknecht

Publication date: 21 March 2016

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

Full work available at URL: https://arxiv.org/abs/1311.2883

zbMATH Keywords

evolution equationrepresentations of semigroupsFeynman path integralsBerezin's problemFeyman formulaeLévy-Khintchine symbolsnon-uniqueness of quantization

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Schrödinger and Feynman-Kac semigroups (47D08)

Related Items (10)

Phase space Feynman path integrals of parabolic type on the torus as analysis on path space ⋮ New method for constructing Chernoff functions ⋮ The Method of Chernoff Approximation ⋮ Chernoff approximation of subordinate semigroups ⋮ Approximations to the solution of Cauchy problem for a linear evolution equation via the space shift operator (second-order equation example) ⋮ On numerical density approximations of solutions of SDEs with unbounded coefficients ⋮ \(L^{1}\) semigroup generation for Fokker-Planck operators associated to general Lévy driven sdes ⋮ Solution-giving formula to Cauchy problem for multidimensional parabolic equation with variable coefficients ⋮ 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

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