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Mapping of the position-dependent mass Schr?dinger equation under point canonical transformation
Mapping of the position-dependent mass Schroedinger equation under point canonical transformation

Keywords: position-dependent mass,Coulomb potential,point canonical transformation
位置-质量关联性
,库仑势能,点正则变换,Schroedinger方程

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Abstract:

In this paper, the three-dimensional radial position-dependent mass Schr?dinger equation is exactly solved through mapping this wave equation into the constant mass Schr?dinger equation with Coulomb potential by means of point canonical transformation. The wavefunctions here can be given in terms of confluent hypergeometric functions.

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