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arXiv quant-ph/9711036quant-ph
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正则力学中的中心荷

Central charges in regular mechanics

A. Cabo, J. L. Lucio M., V. Villanueva

摘要:

我们考虑与一组变换相关的代数,这些变换是正则力学系统(即无约束系统)的对称性。对于时间相关的坐标变换,我们表明,一个中心的扩展可能会出现在经典的水平,这是坐标和动量无关。一个上链形式主义自然出现的论点,并扩展通常的配置空间上链的概念相空间。

英文摘要:

We consider the algebra associated to a group of transformations which are symmetries of a regular mechanical system (i.e. system free of constraints). For time dependent coordinate transformations we show that a central extension may appear at the classical level which is coordinate and momentum independent. A cochain formalism naturally arises in the argument and extends the usual configuration space cochain concepts to phase space.

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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