Field Theory Methods in Classical Dynamics

Details Field Theory Methods in Classical Dynamics Field Theory Methods in Classical Dynamics

2004-11-30

arxiv.org/abs/hep-th/0411273v2

Int.J.Theor.Phys.41:1327-1337,2002

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 14 pages, no figure, misprints corrected

Scientific paper

10.1023/A:1019607117138

A Dirac picture perturbation theory is developed for the time evolution operator in classical dynamics in the spirit of the Schwinger-Feynman-Dyson perturbation expansion and detailed rules are derived for computations. Complexification formalisms are given for the time evolution operator suitable for phase space analyses, and then extended to a two-dimensional setting for a study of the geometrical Berry phase as an example. Finally a direct integration of Hamilton's equations is shown to lead naturally to a path integral expression, as a resolution of the identity, as applied to arbitrary functions of generalized coordinates and momenta.

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