关于朗道的《量子力学》From the commutability of with the angular momentum operator it follows that the matrix of f with respect to transitions between states with definite values of L and M is diagonal with respect to these suffixes.表示

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关于朗道的《量子力学》From the commutability of with the angular momentum operator it follows that the matrix of f with respect to transitions between states with definite values of L and M is diagonal with respect to these suffixes.表示
关于朗道的《量子力学》
From the commutability of with the angular momentum operator it follows that the matrix of f with respect to transitions between states with definite values of L and M is diagonal with respect to these suffixes.
表示f的算符.为什么说可交换就可以推出矩阵是对角的?

关于朗道的《量子力学》From the commutability of with the angular momentum operator it follows that the matrix of f with respect to transitions between states with definite values of L and M is diagonal with respect to these suffixes.表示
如果可交换,就说明这个算符和L及M具有共同的本征向量.所以L和M的本征向量可以同时将L、M和对角化.也就是说,在L和M的表象中,是对角的.