Feynman's Path Integrals as Evolutionary Semigroups
数学物理
2007-05-23 v1 泛函分析
math.MP
摘要
We show that, for a class of systems described by a Lagrangian L(x,\dot{x},t) = 1/2\dot{x}^{2} - V(x,t) the propagator can be reduced via Noether's Theorem to a standard path integral multiplied by a phase factor. Using Henstock's integration technique, this path integral is given a firm mathematical basis. Finally, we recast the propagator as an evolutionary semigroup.
引用
@article{arxiv.math-ph/0107016,
title = {Feynman's Path Integrals as Evolutionary Semigroups},
author = {David W. Dreisigmeyer and Peter M. Young},
journal= {arXiv preprint arXiv:math-ph/0107016},
year = {2007}
}
备注
23 pages