关于angular momentum量子化的评论：I.基于本征函数物理要求和对易关系的分析
Critical comments on quantization of the angular momentum: I. Analysis based on the physical requirement on eigenfunctions and on the commutation relations
摘要：
研究了角动量平方算符的本征函数和本征值。它表明，无论是从要求的特征函数是正规化，也不是从交换关系，它是可能的，以证明，本征值谱是一组只有整数（单位$\hbar=1$）。我们提出了正规的，归一化的本征函数的非整数本征值，从而证明了一个非整数的角动量是允许从理论上的观点。
英文摘要：
Eigenfunctions and eigenvalues of the operator of the square of the angular momentum are studied. It is shown that neither from the requirement for the eigenfunctions be normalizable nor from the commutation relations it is possible to prove that the eigenvalues spectrum is a set of only integer numbers (in units $\hbar=1$). We present regular, normalizable eigenfunctions with the non-integer eigenvalues thus demonstrating that a non-integer angular momentum is admissible from the theoretical viewpoint.
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