Field theory methods in classical dynamics
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Publication:1855302
DOI10.1023/A:1019607117138zbMATH Open1018.81016arXivhep-th/0411273MaRDI QIDQ1855302
Author name not available (Why is that?)
Publication date: 4 February 2003
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/hep-th/0411273
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