HYPERVIRIAL FUNCTIONS AND THE POSITIVE POWERS OF THE RADIAL COORDINATE OPERATOR IN HE AND H(-),

Abstract

Ground state He and H(-) trial functions are scaled to satisfy the hypervirial relations generated by a family of hypervirial operators. These one-parameter hypervirial functions are used to calculate expectation values of positive powers of the radial coordinate operators. The values are also calculated through first order using the perturbation techniques of Dalgarno and coworkers. The perturbation treatment gives excellent results for He, but is ineffective for H(-). The hypervirial theorem is used to develop a variety of expectation value relationships for one and two electron central force problems. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 10, 1963
Accession Number
AD0415127

Entities

People

  • S. L. Gordon

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Atomic Energy Levels
  • Atomic Properties
  • Atomic Structure
  • Charged Particles
  • Electrons
  • Elementary Fermions
  • Elementary Particles
  • Energy Levels
  • Fermions
  • Ground State
  • Leptons
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • Perturbations

Readers

  • Computational Modeling and Simulation
  • Linear Algebra
  • Molecular Photonics/Laser Physics

Technology Areas

  • Microelectronics