On Energy Bounds Derived from the Conjugate Eigenvalue Problem.

Abstract

An upper bound for ground-state energies, which has been derived from the conjugate eigenvalue problem by Hall, is discussed. The bound is only guaranteed if the potential is negative-definite. Another bound is presented which is free from this restriction, and the underlying iterative procedure is given. The theory is illustrated by a one-dimensional system with delta-function potentials. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1971
Accession Number
AD0737239

Entities

People

  • Peter D. Robinson
  • Saul T. Epstein

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Delta Functions
  • Eigenvalues
  • Ground State
  • Mathematical Analysis
  • Mathematics

Readers

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