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arXiv 1702.01833quant-phphysics.atom-phphysics.ed-ph
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位移算符:量子相位的经典面

Displacement operators: the classical face of their quantum phase

Amar C. Vutha, Eliot A. Bohr, Anthony Ransford, Wesley C. Campbell, Paul Hamilton

摘要:

在量子力学中,代表系统在位置或动量上的位移的算符总是伴随着一个依赖于路径的相位因子。特别地,相空间中的两个非平行位移并不以简单的方式合成在一起,并且这些位移的顺序导致不同的位移合成相因子。这些相位因子通常归因于量子位置和动量算符之间的非零交换子,但这样的数学解释可能对追求更多物理见解的学生不满意。我们提出了一对夫妇的简单演示,使用经典的波动力学和经典粒子力学,提供一些物理直观的相位与位移算子。

英文摘要:

In quantum mechanics, the operator representing the displacement of a system in position or momentum is always accompanied by a path-dependent phase factor. In particular, two non-parallel displacements in phase space do not compose together in a simple way, and the order of these displacements leads to different displacement composition phase factors. These phase factors are often attributed to the nonzero commutator between quantum position and momentum operators, but such a mathematical explanation might be unsatisfactory to students who are after more physical insight. We present a couple of simple demonstrations, using classical wave mechanics and classical particle mechanics, that provide some physical intuition for the phase associated with displacement operators.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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