THE CORRELATION ENERGIES OF THE HELIUM SEQUENCE

Abstract

An attempt is made to determine with high accuracy the effect of configuration interaction in the second order term in the expansion of the energy of the ground state of the two electron systems in inverse powers of the nuclear charge. The equations for the separate angular harmonics of the first order wave function are solved variationally using expansions in terms of one electron orbitals, with the object of examining the rate of convergence as the number of orbitals in the trial solution is increased. The convergence of the harmonic expansion is found to be slow, the contributions falling off as 0.35 lambda to the -4 power. The radial expansion is also slowly convergent particularly in the case of the high order harmonic contributions, lambda equals or exceeds 5. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1962
Accession Number
AD0277742

Entities

People

  • A.l. Stewart
  • W.b. Somerville

Organizations

  • Queen's University Belfast

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Convergence
  • Electrons
  • Equations
  • Functions (Mathematics)
  • Ground State
  • Harmonics
  • Mathematics
  • Sequences
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Fluid Dynamics.
  • Quantum Chemistry

Technology Areas

  • Microelectronics
  • Space
  • Space - Hall-Effect Thruster