Functional Techniques in Classical Mechanics
Quantum Physics
2009-11-07 v1 High Energy Physics - Theory
Abstract
In 1931 Koopman and von Neumann extended previous work of Liouville and provided an operatorial version of Classical Mechanics (CM). In this talk we will review a path-integral formulation of this operatorial version of CM. In particular we will study the geometrical nature of the many auxiliary variables present and of the unexpected universal symmetries generated by the functional technique.
Cite
@article{arxiv.quant-ph/0107060,
title = {Functional Techniques in Classical Mechanics},
author = {E. Gozzi},
journal= {arXiv preprint arXiv:quant-ph/0107060},
year = {2009}
}
Comments
Contribution to the conference: "Quantum Gravity and Spectral Geometry", Naples, 1-8 july 2001