ON THE NON-ORTHOGONALITY PROBLEM FOR INTERACTING ELECTRONIC SYSTEMS

Abstract

An electronic system may often be regarded as composed of two interacting subsystems. It is then possible to discuss the properties of the whole in terms of those of its parts, density matrix theory providing a convenient mathematical tool for this purpose. Earlier discussions, in which the wave functions of the subsystems were restricted so as to satisfy a strong orthogonality condition (and which consequently could not be assumed exact), are generalized to allow for non-orthogonality. As a simple illustration, the approach has been tested on the system of two helium atoms. This calculation, which is of a preliminary nature, serves to indicate the great importance of non-orthogonality corrections: these become exceedingly large as the subsystems begin to interpenetrate, and describe strong repulsions. It is hoped that this method of attack will prove of value in discussing the repulsive potentials between atoms and molecules in crystals and fluids. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 15, 1961
Accession Number
AD0261225

Entities

People

  • Roy Mcweeny

Organizations

  • Uppsala University

Tags

DTIC Thesaurus Topics

  • Matrix Theory
  • Orthogonality
  • Wave Functions

Readers

  • Calculus or Mathematical Analysis
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Systems Analysis and Design

Technology Areas

  • Microelectronics