Nambu Dynamics, Deformation Quantization, and Superintegrability

Details Nambu Dynamics, Deformation Quantization, and Superintegrability Nambu Dynamics, Deformation Quantization, and Superintegrability

2002-11-13

arxiv.org/abs/math-ph/0211021v2

Physics

Mathematical Physics

Talk by the first author at the Workshop on Superintegrability in Classical and Quantum Systems, Centre de recherches mathemat

Scientific paper

Phase space is a framework ideally suited for quantizing superintegrable systems through the use of deformation methods, as illustrated here by applications to de Sitter and chiral particles. Within this framework, Nambu brackets elegantly incorporate the additional quantum invariants of such models. New results are presented for the non-Abelian quantization of these brackets.

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