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A Set of Exact Solutions for Singular Integral Equation and a Divergence Pcreoblem of 1D Hydrogen Atom in Moment Represent |
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| Authors: | LIU Yi DAI JiXin DAI JiQiong DAI XianXi |
| Institution: | 1. Department of Physics, Fudan University, Shanghai 200433, China; 2. Department of Chemistry, New York University, 31 Washington Place, New York, NY 10003, USA; 3. Department of Chemistry and The James F'ranck Institute, University of Chicago, Chicago, Illinois 60367, USA |
| Abstract: | The divergence problem in momentum representation of some singular potentials in Schrodinger equation is discussed. A set of exact solutions for a singular integral equation and the criteria determining the solutions in momentum space are obtained. The problems on Loudon's symmetric solutions and counter example of nondegeneracy theorem are solved. |
| Keywords: | exact solution singular integral equation divergence problem in momentum space Wigner crystal |
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