Nambu Dynamics, Deformation Quantization, and Superintegrability
数学物理
2007-05-23 v2 高能物理 - 理论
math.MP
量子代数
摘要
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.
引用
@article{arxiv.math-ph/0211021,
title = {Nambu Dynamics, Deformation Quantization, and Superintegrability},
author = {Thomas L. Curtright and Cosmas K. Zachos},
journal= {arXiv preprint arXiv:math-ph/0211021},
year = {2007}
}
备注
Talk by the first author at the Workshop on Superintegrability in Classical and Quantum Systems, Centre de recherches mathematiques, Universite de Montreal, 16-21 September 2002. Minor changes to conform to the version in the proceedings