场和引力的准正则量子化中的Escherichfest定理
Ehrenfest Theorem in Precanonical Quantization of Fields and Gravity
摘要：
我们讨论了推广的Escherfest定理最近提出的前规范量子化的维尔拜因引力的收益从时空对称推广的哈密顿形式主义场论。经典的Einstein-Palatini方程被导出为准正则量子算符的期望值方程。前面对弯曲时空上相互作用标量场的讨论表明，经典场方程是如何从前正则量子化的结果中产生出来的，作为相应量子算符的期望值的方程。它还允许我们识别前规范Schr的协变推广中的连接项厄丁格方程与自旋联系。
英文摘要：
We discuss a generalization of the Ehrenfest theorem to the recently proposed precanonical quantization of vielbein gravity which proceeds from a space-time symmetric generalization of the Hamiltonian formalism to field theory. Classical Einstein-Palatini equations are derived as equations of expectation values of precanonical quantum operators. The preceding consideration of an interacting scalar field theory on curved space-time shows how the classical field equations emerge from the results of precanonical quantization as the equations of expectation values of the corresponding quantum operators. It also allows us to identify the connection term in the covariant generalization of the precanonical Schrödinger equation with the spin connection.
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