Condensed Matter Physics, 1997, No 10, p. 41-50,
The Hamiltonian formalism to the dynamics of the condensed media with spontaneously broken phase invariance has been built. The method for finding of Poisson brackets for the dynamic variables has been formulated. It is based on the consideration of the transformations that leave invariant the kinematic part of the action and on the interpretation of the outside integral terms as the generators of these transformations. Important role in the developed approach plays the construction of the translation operators and their densities for the different physical fields, figuring in the action. The order parameter phases that correspond to the broken symmetry are defined in terms of the quantities canonically conjugate to the additive motion integral densities. In capacity of specific objects the quantum crystal, the superfluid phase of ^3He-B and the quantum spin crystal are considered.Comments: Figs. 0, Refs. 6, Tabs. 0.
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