Rotating frames and gauge invariance in three-dimensional many-body quantum systems

Details Rotating frames and gauge invariance in three-dimensional many-body quantum systems Rotating frames and gauge invariance in three-dimensional many-body quantum systems

2004-05-25

arxiv.org/abs/quant-ph/0405152v1

J.Phys.A37:6773-6806,2004

Physics

Quantum Physics

29 pages, LaTeX2e, AmsLaTeX

Scientific paper

10.1088/0305-4470/37/26/013

We study the quantization of many-body systems in three dimensions in rotating coordinate frames using a gauge invariant formulation of the dynamics. We consider reference frames defined by linear gauge conditions, and discuss their Gribov ambiguities and commutator algebra. We construct the momentum operators, inner-product and Hamiltonian in those gauges, for systems with and without translation invariance. The analogy with the quantization of non-Abelian Yang-Mills theories in non-covariant gauges is emphasized. Our results are applied to quasi-rigid systems in the Eckart frame.

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