Stargenfunctions, generally parametrized systems and a causal formulation of phase space quantum mechanics

Details Stargenfunctions, generally parametrized systems and a causal formulation of phase space quantum mechanics Stargenfunctions, generally parametrized systems and a causal formulation of phase space quantum mechanics

2005-06-12

arxiv.org/abs/math-ph/0506032v1

J. Math. Phys. 46 (2005) 072107

Physics

Mathematical Physics

19 pages, to appear in J. Math. Phys

Scientific paper

10.1063/1.1948327

We address the deformation quantization of generally parametrized systems displaying a natural time variable. The purpose of this exercise is twofold: first, to illustrate through a pedagogical example the potential of quantum phase space methods in the context of constrained systems and particularly of generally covariant systems. Second, to show that a causal representation for quantum phase space quasidistributions can be easily achieved through general parametrization. This result is succinctly discussed.

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