Hamiltonian path integrals in momentum space representation via white noise techniques

DOI10.1016/S0034-4877(14)60034-3zbMath1303.60061arXiv1307.4233MaRDI QIDQ2450214

Wolfgang Bock

Publication date: 19 May 2014

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.4233

zbMATH Keywords

white noise analysisFeynman integral

Mathematics Subject Classification ID

White noise theory (60H40) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30)

Related Items (1)

Generalized Scaling Operators in White Noise Analysis and Applications to Hamiltonian Path Integrals with Quadratic Action

Cites Work

• Phase space Feynman path integrals with smooth functional derivatives by time slicing approximation
• Generalized Brownian functionals and the Feynman integral
• Path integration in phase space
• A characterization of Hida distributions
• White noise calculus and Fock space
• Generalized functionals in Gaussian spaces: The characterization theorem revisited
• Quadratic actions, semi-classical approximation, and delta sequences in Gaussian analysis.
• Mathematical theory of Feynman path integrals. An introduction
• Quantum Mechanical Path Integrals with Wiener Measures for all Polynomial Hamiltonians
• The Feynman integrand for the Charged Particle in a Constant Magnetic field as White Noise Distribution
• A white noise approach to phase space Feynman path integrals
• Feynman integrals for nonsmooth and rapidly growing potentials
• The Feynman integrand as a Hida distribution
• The Feynman integral for time-dependent anharmonic oscillators
• Feynman integrals for a class of exponentially growing potentials
• Path integrals for boundaries and topological constraints: A white noise functional approach
• Phase space Feynman path integrals
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• An Operator Calculus Having Applications in Quantum Electrodynamics
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