New Application of Functional Integrals to Classical Mechanics

Details New Application of Functional Integrals to Classical Mechanics New Application of Functional Integrals to Classical Mechanics

2004-11-17

arxiv.org/abs/cond-mat/0411450v1

Physics

Condensed Matter

Statistical Mechanics

13 pages

Scientific paper

10.1016/j.physleta.2004.11.059

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.

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