The complete solution of the Hamilton-Jacobi equation in Quantum Mechanics
Quantum Physics
2007-05-23 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Abstract
An ordinary unambiguous integral representation for the finite propagator of a quantum system is found by starting of a privileged skeletonization of the functional action in phase space, provided by the complete solution of the Hamilton-Jacobi equation. This representation allows to regard the propagator as the sum of the contributions coming from paths where the momenta generated by the complete solution of the Hamilton-Jacobi equation are conserved -as it does happen on the classical trajectory-, but are not restricted to having the classical values associated with the boundary conditions for the original coordinates.
Keywords
Cite
@article{arxiv.quant-ph/9607013,
title = {The complete solution of the Hamilton-Jacobi equation in Quantum Mechanics},
author = {Rafael Ferraro},
journal= {arXiv preprint arXiv:quant-ph/9607013},
year = {2007}
}
Comments
8 pages (TeX manuscript)