CONTINUED FRACTIONS AND UPPER AND LOWER BOUNDS IN THE BRILLOUIN - WIGNER PERTURBATION SCHEME,

Abstract

A derivation of approximants to a continued fraction development of the energy is presented. It is based on the techniques of infinite order perturbation theory and inner projection of operators. The approximants have been introduced before; here their formal nature is clarified and conditions under which they exhibit extremal properties are presented. The oscillatory behaviour about the true eigenvalue, observed previously in the Mathieu problem, is explained. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 31, 1967
Accession Number
AD0658035

Entities

People

  • Osvaldo Goscinski

Organizations

  • Uppsala University

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Eigenvalues
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Perturbation Theory
  • Perturbations

Readers

  • Calculus or Mathematical Analysis