Path Integral Quantization and Riemannian-Symplectic Manifolds
Quantum Physics
2009-10-31 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We develop a mathematically well-defined path integral formalism for general symplectic manifolds. We argue that in order to make a path integral quantization covariant under general coordinate transformations on the phase space and involve a genuine functional measure that is both finite and countably additive, the phase space manifold should be equipped with a Riemannian structure (metric). A suitable method to calculate the metric is also proposed.
Cite
@article{arxiv.quant-ph/9805014,
title = {Path Integral Quantization and Riemannian-Symplectic Manifolds},
author = {Sergei V. Shabanov and John R. Klauder},
journal= {arXiv preprint arXiv:quant-ph/9805014},
year = {2009}
}
Comments
plain Latex, 9 pages, no figures