New application of functional integrals to classical mechanics. (English) Zbl 1123.70320
Summary: 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.
MSC:
| 70H99 | Hamiltonian and Lagrangian mechanics |
| 58D30 | Applications of manifolds of mappings to the sciences |
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