On the formulation of the Feynman path integral through broken line paths

DOI10.1007/s002200050189zbMath0892.58012OpenAlexW2055329261MaRDI QIDQ1379551

Wataru Ichinose

Publication date: 27 July 1998

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

Full work available at URL: https://doi.org/10.1007/s002200050189

zbMATH Keywords

Feynman path integralnon-relativistic quantum mechanicsbroken line paths

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Applications of manifolds of mappings to the sciences (58D30)

Related Items (14)

ON CONVERGENCE OF THE FEYNMAN PATH INTEGRAL FORMULATED THROUGH BROKEN LINE PATHS ⋮ Notes on the Feynman path integral for the Dirac equation ⋮ A mathematical theory of the phase space Feynman path integral of the functional ⋮ On the pointwise convergence of the integral kernels in the Feynman-Trotter formula ⋮ PATH INTEGRALS ON A COMPACT MANIFOLD WITH NON-NEGATIVE CURVATURE ⋮ A rigorous mathematical construction of Feynman path integrals for the Schrödinger equation with magnetic field ⋮ Path integrals as analysis on path space by time slicing approximation ⋮ On the Feynman path integral for the magnetic Schrödinger equation with a polynomially growing electromagnetic potential ⋮ On the mathematical formulation of the restricted Feynman path integrals through broken line paths ⋮ THE PHASE SPACE FEYNMAN PATH INTEGRAL WITH GAUGE INVARIANCE AND ITS CONVERGENCE ⋮ On the Feynman path integral for the Dirac equation in the general dimensional spacetime ⋮ ON THE FEYNMAN PATH INTEGRAL FOR NONRELATIVISTIC QUANTUM ELECTRODYNAMICS ⋮ Feynman path integrals as analysis on path space by time slicing approximation ⋮ Finite dimensional approximations to Wiener measure and path integral formulas on manifolds

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