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Constraints, dependent fields and the quantum dynamical principle

机译:约束,相依场和量子动力学原理

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摘要

Within the functional differential formalism of quantum systems, referred to as the quantum dynamical principle, given independent pairs of canonical conjugate variables {q(i) (t), p(i) (t), i = 1, ... , n} = {q(t), p(t)}, and a set of pairwise commuting operator functions {G(j) (q(t), p(t)), j = 1, ... , k} of these variables defined, transformation functions are explicitly given, for constrained dynamical systems, expressed as functional differential operations applied to a given functional written in closed form. In the functional differential treatment external sources are, a priori, necessarily introduced in the theory. The connection of this work to the so-called Faddeev-Popov technique in path integrals is pointed out.
机译:在量子系统的功能微分形式主义(称为量子动力学原理)内,给定独立的典范共轭变量对{q(i)(t),p(i)(t),i = 1,...,n } = {q(t),p(t)},以及一组成对的换向算子函数{G(j)(q(t),p(t)),j = 1,...,k}这些变量定义后,对于受约束的动力学系统,明确给出了转换函数,表示为应用于以封闭形式编写的给定函数的函数微分运算。在功能上的区别对待中,先验必然是在理论中引入了外部来源。指出了这项工作与路径积分中所谓的Faddeev-Popov技术的联系。

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