|
|||||
|
|
Local properties of Coulombic wave functions |
|
| Authors: | M Hoffmann-Ostenhof T Hoffmann-Ostenhof H Stremnitzer |
| Institution: | (1) Institut für Mathematik, Universität Wien, Strudlhogasse 4, A-1090 Wien, Austria;(2) Erwin Schrödinger International Institute of Mathematical Physics, Pasteurgasse 6/7, A-1090 Wien, Austria;(3) Institut für Theoretische Chemie, Universität Wien, Währingerstrasse 17, A-1090 Wien, Austria;(4) Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, A-1090 Wien, Austria |
| 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. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |