The Feynman integrand as a Hida distribution
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Publication:3987339
DOI10.1063/1.529184zbMath0754.46050OpenAlexW2031411822MaRDI QIDQ3987339
M. De Faria, Ludwig Streit, Juergen Potthoff
Publication date: 28 June 1992
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.529184
Path integrals in quantum mechanics (81S40) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Applications of functional analysis in quantum physics (46N50)
Related Items (26)
Along Paths Inspired by Ludwig Streit: Stochastic Equations for Quantum Fields and Related Systems ⋮ Probability and Quantum Symmetries. II. The Theorem of Nœther in quantum mechanics ⋮ Quantum mechanical propagators in terms of Hida distributions ⋮ Spaces of white noise distributions: Constructions, descriptions, applications. I ⋮ The time-dependent quartic oscillator --- a Feynman path integral approach ⋮ Path integrals for boundaries and topological constraints: A white noise functional approach ⋮ Stochastic interpretation of Feynman path integral ⋮ White noise delta functions and continuous version theorem ⋮ Gauge theories in low dimensions: reminiscences of work with Sergio Albeverio ⋮ The Feynman integral for time-dependent anharmonic oscillators ⋮ Hamiltonian path integrals in momentum space representation via white noise techniques ⋮ Quadratic actions, semi-classical approximation, and delta sequences in Gaussian analysis. ⋮ A characterization of Hida distributions ⋮ The Hamiltonian path integral for potentials of the Albeverio Høegh-Krohn class -- a white noise approach ⋮ Feynman Integrals for a New Class of Time-Dependent Exponentially Growing Potentials ⋮ The complex scaled Feynman–Kac formula for singular initial distributions ⋮ WHITE NOISE ANALYSIS: SOME APPLICATIONS IN COMPLEX SYSTEMS, BIOPHYSICS AND QUANTUM MECHANICS ⋮ Continuity of affine transformations of white noise test functionals and applications ⋮ Generalized Fresnel integrals ⋮ Mittag-Leffler analysis. I: Construction and characterization ⋮ Feynman path integrals for polynomially growing potentials ⋮ Feynman integrals for a class of exponentially growing potentials ⋮ FUNCTIONAL-INTEGRAL SOLUTION FOR THE SCHRÖDINGER EQUATION WITH POLYNOMIAL POTENTIAL: A WHITE NOISE APPROACH ⋮ The Hamiltonian path integrand for the charged particle in a constant magnetic field as white noise distribution ⋮ A complex scaling approach to sequential Feynman integrals ⋮ Feynman integrals for nonsmooth and rapidly growing potentials
Cites Work
- Generalized Brownian functionals and the Feynman integral
- Applications of white noise calculus to the computation of Feynman integrals
- DIRICHLET FORMS IN TERMS OF WHITE NOISE ANALYSIS I: CONSTRUCTION AND QFT EXAMPLES
- DIRICHLET FORMS IN TERMS OF WHITE NOISE ANALYSIS II: CLOSABILITY AND DIFFUSION PROCESSES
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