CONTINUOUS RETATIONS IN THE STATISTICAL THEORY OF ELECTRONIC ENERGIES

Abstract

The use of continuous bases of representation other than a plane-wave basis is considered in the theory developed originally by Thomas and Fermi. The bases considered here are the sets of eigen-functions of Hamiltonians corresponding to a particle subjected to a field of force which varies inversely as the cube of the distance to some fixed point. Variation of the strength of the interaction varies the basis continuously. Calculations of the energy of the hydrogen atom is carried out, with results that are appreciably closer to the quantum mechanical result than is obtained with the original Thomas-Fermi theory. Numerical results suggest the possible existence of a statistical analogue of the Rayleigh-Ritz variation principle.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1963
Accession Number
AD0403884

Entities

People

  • George Handler
  • Sidney Golden

Organizations

  • Brandeis University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Bessel Functions
  • Calorific Value
  • Chemistry
  • Data Processing
  • Data Processing Equipment
  • Eigenvalues
  • Energy
  • Equations
  • Exclusion Principle
  • Integrals
  • Kinetic Energy
  • Military Research
  • New York
  • Physics
  • Potential Energy
  • Processing Equipment
  • Universities

Readers

  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Theoretical Analysis.

Technology Areas

  • Microelectronics
  • Quantum Computing