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抛物线坐标系中的二维氢原子及其Runge-Lenz矢量 被引量:5

TWO-DIMENSIONAL HYDROGEN ATOM IN THE PARABOLIC COORDINATES AND ITS RUNGE-LENZ VECTOR
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摘要 证明了二维氢原子在抛物线坐标系中的本征函数也是二维Runge-Lenz矢量x分量的本征函数。 The eigenvalue problem of two-dimensional H-atom is solved in the parabolic coordinates. It is shown that, the eigenfunctions in the parabolic coordinates are the eigenfunctions of its Runge-Lenz victor, the transformation matrix that transforms the eigenfunctions from the polar coordinates into the parabolic coordinates is rotation matrix, and the parabolic coordinates are the suitable for calculating Stark effect.
作者 李元勋
出处 《大学物理》 1997年第4期5-7,4,共4页 College Physics
关键词 二维 氢原子 抛物线坐标系 R-L矢量 two-dimensional hydrogen atom parabolic coordinates Runge-Lenz vetor
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