论文标题
如何确保有效的量化
How to Secure Valid Quantizations
论文作者
论文摘要
经典力学涉及必须选择特殊坐标的位置和动量变量，以促进合适的量子算子。由于可以广泛选择经典变量，因此只能选择唯一的变量。我们将概述如何保证受青睐的变量及其合适的量子运算符确保真正有效的量化。无效的量化可能会误认为有效的量化，从而导致物理不正确。除了粒子示例外，还有一个短暂的田野和重力。
Classical mechanics involves position and momentum variables that must be special coordinates chosen to promote to suitable quantum operators. Since classical variables may be broadly chosen, only unique variables should be chosen. We will outline how the favored variables and their suitable quantum operators is guaranteed to assure a truly valid quantization. Invalid quantizations may be mistaken for valid ones, which then leads to incorrect physics. Besides particle examples, there is also a brief run-through for fields and gravity.
