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arXiv · hep-th/0411273

Field Theory Methods in Classical Dynamics

E. B. Manoukian·N. Yongram
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Abstract

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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E. B. Manoukian, N. Yongram. 2004-12-14. Field Theory Methods in Classical Dynamics. https://doi.org/10.1023/a%3A1019607117138

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