约束第二类系统中的第一类函数
First class functions in constrained second class systems
摘要：
给出了一类第二类约束系统中第一类函数代数的生成元，证明了第一类函数关于Dirac括号和逐点乘法构成代数，在约束曲面上为零的函数的子空间是这些代数的理想.相应的商代数同构于狄拉克括号形式中的相变量代数。给出了这些代数的生成元和括号的显式表达式。
英文摘要：
Generators of the algebra of first class functions in a system with second class constraints are found. It is shown that first class functions form algebras with respect to the Dirac bracket and pointwise multiplication.The subspace of functions vanishing on constraint surface are ideals of these algebras. The corresponding quotient algebras are isomorphic to the algebras of phase variables in the Dirac bracket formalism. Explicite expressions for generators and brackets of the algebras under consideration are obtained.
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