THE PHASE SPACE FEYNMAN PATH INTEGRAL WITH GAUGE INVARIANCE AND ITS CONVERGENCE

DOI10.1142/S0129055X00000630zbMath0966.81039OpenAlexW2108412271MaRDI QIDQ2711623

Wataru Ichinose

Publication date: 24 April 2001

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

Full work available at URL: https://doi.org/10.1142/s0129055x00000630

zbMATH Keywords

configuration spaceelectromagnetic potentialtime-slicing approximation

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (4)

A mathematical theory of the phase space Feynman path integral of the functional ⋮ On the Feynman path integral for the Dirac equation in the general dimensional spacetime ⋮ Feynman formulae and phase space Feynman path integrals for tau-quantization of some Lévy-Khintchine type Hamilton functions ⋮ Feynman formulas and path integrals for some evolution semigroups related to \(\tau\)-quantization

Cites Work

• On the formulation of the Feynman path integral through broken line paths
• A rigorous path integral construction in any dimension
• Transition amplitudes as sums over histories
• ON CONVERGENCE OF THE FEYNMAN PATH INTEGRAL FORMULATED THROUGH BROKEN LINE PATHS
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• Hamiltonian Path-Integral Methods
• An Operator Calculus Having Applications in Quantum Electrodynamics

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