A mathematical theory of the phase space Feynman path integral of the functional

DOI10.1007/s00220-006-0005-5zbMath1107.58004OpenAlexW2127631881MaRDI QIDQ863144

Wataru Ichinose

Publication date: 25 January 2007

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

Full work available at URL: https://doi.org/10.1007/s00220-006-0005-5

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Applications of manifolds of mappings to the sciences (58D30) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items

Convergence in \(L^{p}\) for Feynman path integrals, Phase space Feynman path integrals of parabolic type on the torus as analysis on path space, On the pointwise convergence of the integral kernels in the Feynman-Trotter formula, Path integrals as analysis on path space by time slicing approximation, Phase space path integral on torus for the fundamental solution of higher-order parabolic equations, Infinite dimensional oscillatory integrals as projective systems of functionals, Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations, Phase space Feynman path integrals with smooth functional derivatives by time slicing approximation, Phase space Feynman path integrals of parabolic type with smooth functional derivatives, Phase space Feynman path integrals of higher order parabolic type with general functional as integrand

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