Star products, duality and double Lie algebras

Details Star products, duality and double Lie algebras Star products, duality and double Lie algebras

2006-09-06

arxiv.org/abs/quant-ph/0609041v1

Phys.Lett. A360 (2007) 522-532

Physics

Quantum Physics

22 pages, no figures

Scientific paper

10.1016/j.physleta.2006.08.057

Quantization of classical systems using the star-product of symbols of observables is discussed. In the star-product scheme an analysis of dual structures is performed and a physical interpretation is proposed. At the Lie algebra level duality is shown to be connected to double Lie algebras. The analysis is specified to quantum tomography. The classical tomographic Poisson bracket is found.

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