SUPERPOSITION OF CONFUGURATIONS AND NATURAL SPIN ORBITALS. APPLICATIONS TO THE HE PROBLEM.

Abstract

The method of superposition of configurations is examined in its application to the helium atom in two cases: a 21 x 21 matrix including all configurations up to 6s2, and a 20 x 20 matrix with all configurations up to the 4-quantum level, including angular terms. An analysis of the results suggests that inner orbitals may be better represented by pure exponentials than by Hartree-Fock orbitals whenever additional correlational degrees of freedom are permitted. Expressed in approximate natural spin orbital from, the wave function is almost invariant to choice of basis set, provided that the latter is reasonably chosen. In particular, the necessity of including continuum terms along with the discrete hydrogen-like set is demonstrated. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 15, 1958
Accession Number
AD0639934

Entities

People

  • Harrison Shull
  • Per-olov Loewdin

Organizations

  • Uppsala University

Tags

DTIC Thesaurus Topics

  • Elements
  • Functions (Mathematics)
  • Group 1 Elements
  • Hydrogen
  • Mathematics
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Regression Analysis.

Technology Areas

  • Quantum Computing
  • Space