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arXiv quant-ph/0609041quant-ph
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星积、对偶与双李代数

Star products, duality and double Lie algebras

Olga V. Man'ko, Vladimir I. Man'ko, Giuseppe Marmo, Patrizia Vitale

摘要:

讨论了用观测量符号的星积量子化经典系统。在星积方案的双重结构进行分析,并提出了物理解释。在李代数层次上,对偶性被证明与双李代数有关。该分析被指定为量子层析成像。经典的层析泊松括号被发现。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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