Feynman integrals for nonsmooth and rapidly growing potentials

DOI10.1063/1.1904162zbMath1110.81130arXivmath-ph/0408032OpenAlexW3105587954MaRDI QIDQ3438487

M. De Faria, Ludwig Streit, Maria Joã O. Oliveira

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0408032

Mathematics Subject Classification ID

White noise theory (60H40) Path integrals in quantum mechanics (81S40) Applications of manifolds of mappings to the sciences (58D30) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Distributions on infinite-dimensional spaces (46F25)

Related Items (6)

Transition Probabilities for Processes with Memory on Topological Non-trivial Spaces ⋮ Hamiltonian path integrals in momentum space representation via white noise techniques ⋮ The Hamiltonian path integral for potentials of the Albeverio Høegh-Krohn class -- a white noise approach ⋮ The complex scaled Feynman–Kac formula for singular initial distributions ⋮ WHITE NOISE ANALYSIS: SOME APPLICATIONS IN COMPLEX SYSTEMS, BIOPHYSICS AND QUANTUM MECHANICS ⋮ The Hamiltonian path integrand for the charged particle in a constant magnetic field as white noise distribution

Cites Work

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• Generalized Brownian functionals and the Feynman integral
• Calculus on Gaussian white noise. I
• Calculus on Gaussian white noise. II
• A characterization of Hida distributions
• White noise calculus and Fock space
• Quantum mechanical propagators in terms of Hida distributions
• Generalized functionals in Gaussian spaces: The characterization theorem revisited
• The Feynman integrand as a Hida distribution
• Feynman integrals for a class of exponentially growing potentials

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