New Application of Functional Integrals to Classical Mechanics
Statistical Mechanics
2009-11-10 v1 Disordered Systems and Neural Networks
Abstract
In this paper a new functional integral representation for classical dynamics is introduced. It is achieved by rewriting the Liouville picture in terms of bosonic creation-annihilation operators and utilizing the standard derivation of functional integrals for dynamical quantities in the coherent states representation. This results in a new class of functional integrals which are exactly solvable and can be found explicitly when the underlying classical systems are integrable.
Cite
@article{arxiv.cond-mat/0411450,
title = {New Application of Functional Integrals to Classical Mechanics},
author = {Anton Zherebtsov and Kirill Ilinski},
journal= {arXiv preprint arXiv:cond-mat/0411450},
year = {2009}
}
Comments
13 pages