论文标题

最喜欢的经典变量以促进量子运营商

The Favored Classical Variables to Promote to Quantum Operators

论文作者

Klauder, John R.

论文摘要

通常选择经典的相空间变量以促进量子运算符,以量化给定的经典系统。尽管经典变量可以利用坐标转换来解决相同的问题,但只有一组量子运算符来解决相同的问题可以提供正确的分析。这样的选择会导致需要找到受欢迎的经典变量,以实现有效的量化。本文介绍了如何发现该偏爱变量的任务,这些变量可用于正确解决给定的量子系统。例如,不可超凡的标量场和重力等实例通过最初改变哪些经典变量来促进量子运算符,从而获利。

Classical phase-space variables are normally chosen to promote to quantum operators in order to quantize a given classical system. While classical variables can exploit coordinate transformations to address the same problem, only one set of quantum operators to address the same problem can give the correct analysis. Such a choice leads to the need to find the favored classical variables in order to achieve a valid quantization. This article addresses the task of how such favored variables are found that can be used to properly solve a given quantum system. Examples, such as non-renormalizable scalar fields and gravity, have profited by initially changing which classical variables to promote to quantum operators.

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