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Many-Particle Problems

  • Marko Horbatsch

Abstract

This section presents an approximate calculation of the energy levels for the helium atom as shown in [F171, problem 90]. We make use of a pure Coulomb Hamiltonian, i.e., no spin-dependent forces are included. The wavefunction separates into a spin part and a spatial part. We cannot ignore the spin part, however, as the requirement of an anti-symmetric (AS) two-electron wavefunction (Pauli principle) has to be satisfied. The wavefunction is given as a product of the coordinate space part that can be chosen to be symmetric (S), ψS, or AS, ψAS, under particle interchange times a two-particle spinor that again can be either S or AS, labeled χS and χAS, respectively. Thus, we can have an overall AS combination ψS × χAS or ψAS × χS.

Keywords

Angular Momentum Hydrogen Molecule Helium Atom Spin Part Internuclear Separation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Marko Horbatsch
    • 1
  1. 1.Department of Physics and AstronomyYork UniversityTorontoCanada

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