ON SECOND ORDER PERTURBATION ENERGIES AND HYPERVIRIAL RELATIONS,

Abstract

A hypervirial criterion for the second order energy correction En Exp. (2) to vanish is examined in the context of standard perturbation theory. For ground state wave functions, the criterion leads to the trivial situation in which both the unperturbed and perturbed Hamiltonians have the same set of eigenfunctions. The first order correction to a non-zero En Exp. (2) under a second perturbation is shown to vanish if another hypervirial criterion is satisfied. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 17, 1966
Accession Number
AD0634779

Entities

People

  • A. M. Arthurs
  • P. D. Robinson

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Eigenvectors
  • Ground State
  • Mathematics
  • Perturbation Theory
  • Perturbations
  • Standards
  • Wave Functions

Readers

  • Mathematical Modeling and Probability Theory.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Regression Analysis.