Quantum Hamilton-Jacobi equation
High Energy Physics - Theory
2009-10-30 v1
Abstract
The nontrivial transformation of the phase space path integral measure under certain discretized analogues of canonical transformations is computed. This Jacobian is used to derive a quantum analogue of the Hamilton-Jacobi equation for the generating function of a canonical transformation that maps any quantum system to a system with a vanishing Hamiltonian. A formal perturbative solution of the quantum Hamilton-Jacobi equation is given.
Cite
@article{arxiv.hep-th/9709200,
title = {Quantum Hamilton-Jacobi equation},
author = {Vipul Periwal},
journal= {arXiv preprint arXiv:hep-th/9709200},
year = {2009}
}
Comments
4 pages, RevTeX