氢原子波函数在动量表象中表示的方向问题 ———对一道典型量子力学习题求解的商榷
收稿日期: 2019-11-19
修回日期: 2020-01-02
网络出版日期: 2020-09-02
On the direction of hydrogen atom wave function in momentum representation
Received date: 2019-11-19
Revised date: 2020-01-02
Online published: 2020-09-02
雷勇 . 氢原子波函数在动量表象中表示的方向问题 ———对一道典型量子力学习题求解的商榷[J]. 大学物理, 2020 , 39(8) : 18 -20 . DOI: 10.16854/j.cnki.1000-0712.190527
the probability distribution of the electron momentum in hydrogen atom in quantum mechanics course by Mr. Zhou
shixun is discussed. The method of calibration of momentum direction in the solution is questioned. For calculating
probability amplitude of momentum,the method is not universal since the representation depends on the selection of
momentum direction. Only for the s-states which have spherical symmetry and are independent of momentum direction
since the spherical harmonic function in probability amplitude is independent of momentum direction,this
method has no effect on the representation. Furthermore,for calculating the probability distribution of the electron
momentum,the calculation requires integrating the angular quantity of momentum,it is not appropriate to calibrate
the momentum direction before the calculation.
Key words: hydrogen atom; momentum representation; momentum direction
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