ar X iv : h ep - t h / 04 11 27 3 v 1 3 0 N ov 2 00 4 Field Theory Methods in Classical Dynamics ∗ †

نویسنده

  • E. B. Manoukian
چکیده

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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تاریخ انتشار 2004