The Physical Pendulum in Quantum Mechanics

The Physical Pendulum in Quantum Mechanics
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量子力学中的物理摆

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通讯作者:
E. Condon
E. Condon
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作者:
E. Condon

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指出偶数阶的马修函数是薛定谔波动力学意义上的物理摆的特征函数。讨论了从纯解析研究中已知的函数的各种性质与摆摆问题的关系。
It is pointed out that the Mathieu functions of even order are the characteristic functions of the physical pendulum in the sense of Schrodinger’s wave mechanics. The relation of various properties of the functions, as known from purely analytical investigations of them, to the pendulum problem is discussed.