Algebraic structure of the Feynman propagator and a new correspondence for canonical transformations
Quantum Physics
2009-11-13 v1
Abstract
We investigate the algebraic structure of the Feynman propagator with a general time-dependent quadratic Hamiltonian system. Using the Lie-algebraic technique we obtain a normal-ordered form of the time-evolution operator, and then the propagator is easily derived by a simple ``Integration Within Ordered Product" (IWOP) technique.It is found that this propagator contains a classical generating function which demonstrates a new correspondence between classical and quantum mechanics.
Keywords
Cite
@article{arxiv.0707.4531,
title = {Algebraic structure of the Feynman propagator and a new correspondence for canonical transformations},
author = {Akihiro Ogura and Motoo Sekiguchi},
journal= {arXiv preprint arXiv:0707.4531},
year = {2009}
}