Transformation Between Eigenfunctions of Three Components of Geometric Momentum on Two-Dimensional Sphere  

Transformation Between Eigenfunctions of Three Components of Geometric Momentum on Two-Dimensional Sphere

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作  者:孙浩然 寻大毛 唐良辉 刘全慧 

机构地区:[1]School for Theoretical Physics,and Department of Applied Physics,Hunan University

出  处:《Communications in Theoretical Physics》2012年第7期31-33,共3页理论物理通讯(英文版)

基  金:Supported by National Natural Science Foundation of China under Grant No. 11175063

摘  要:A technique of coordinate transformation is devised to overcome the computational difficulty associated with the direct transformation between eigenfunctions of three components of the geometric momentum on two-dimensional spherical surface, and the computations are firstly carried out in new coordinates and secondly the results are transformed back into the original coordinates. The eigenfunctions of different components of geometric momentum is explicitly demonstrated to transform under the spatial rotations in the precise way we anticipate.

关 键 词:quantum mechanics differential geometry partial differential equations 

分 类 号:O413.1[理学—理论物理] O18[理学—物理]

 

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