Abstract
We investigate the local behaviour of solutions of a nonrelativistic Schrödinger equation which describe Coulombic systems. Firstly we give a representation theorem for such solutions in the neighbourhood of Coulombic singularities generalizing previous results (Cusp conditions) due to Kato and others. Secondly we investigate the influence of Fermi statistics on the local behaviour of many fermionic wave functions, showing that e.g. anN-electron wave function must have zeros of order at leastN 4/3 for largeN.
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Communicated by B. Simon
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Hoffmann-Ostenhof, M., Hoffmann-Ostenhof, T. & Stremnitzer, H. Local properties of Coulombic wave functions. Commun.Math. Phys. 163, 185–215 (1994). https://doi.org/10.1007/BF02101740
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DOI: https://doi.org/10.1007/BF02101740