Rigorous Real-Time Feynman Path Integral for Vector Potentials
Mathematical Physics
2009-10-31 v1 math.MP
Abstract
we will show the existence and uniqueness of a real-time, time-sliced Feynman path integral for quantum systems with vector potential. Our formulation of the path integral will be derived on the transition probability amplitude via improper Riemann integrals. Our formulation will hold for vector potential Hamiltonian for which its potential and vector potential each carries at most a finite number of singularities and discontinuities.
Keywords
Cite
@article{arxiv.math-ph/0012016,
title = {Rigorous Real-Time Feynman Path Integral for Vector Potentials},
author = {Ken Loo},
journal= {arXiv preprint arXiv:math-ph/0012016},
year = {2009}
}