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Transformation Between Eigenfunctions of Three Components of Geometric Momentum on Two-Dimensional Sphere
Abstract: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.
Keywords:quantum mechanics  differential geometry  partial differential equations
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