Communications in Mathematical Physics

, Volume 163, Issue 1, pp 185–215 | Cite as

Local properties of Coulombic wave functions

  • M. Hoffmann-Ostenhof
  • T. Hoffmann-Ostenhof
  • H. Stremnitzer


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 leastN4/3 for largeN.


Neural Network Statistical Physic Wave Function Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • M. Hoffmann-Ostenhof
    • 1
  • T. Hoffmann-Ostenhof
    • 2
    • 3
  • H. Stremnitzer
    • 4
  1. 1.Institut für MathematikUniversität WienWienAustria
  2. 2.Erwin Schrödinger International Institute of Mathematical PhysicsWienAustria
  3. 3.Institut für Theoretische ChemieUniversität WienWienAustria
  4. 4.Institut für Theoretische PhysikUniversität WienWienAustria

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