正则力学中的中心荷
Central charges in regular mechanics
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.
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