DENSITY MATRIX TECHNIQUES.

Abstract

The objective of this paper is to demonstrate the usefulness of density matrix techniques in the determination of the ground state energy of certain atomic systems. Use of this method, currently under development, results in a lower energy bound in contrast with the Rayleigh-Ritz method which yields an upper bound. The former technique is illustrated for the C++ atomic system. It was found that the Pauli Principle was being violated even when the 2-particle density matrix is expanded in terms of the first fourteen states of Helium. It was shown that significant improvement will probably not be obtained by adding sequentially higher states to the 2-matrix expansion. Very highly excited states must therefore be incorporated into the trial density matrix at the outset if the Pauli restriction is to be satisfied. An attempt is also made to utilize the density matrix techniques on the Triton nuclear system. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1970
Accession Number
AD0708869

Entities

People

  • John P. Tranchina

Organizations

  • United States Army Communications-Electronics Command

Tags

DTIC Thesaurus Topics

  • Atomic Energy Levels
  • Atomic Properties
  • Atomic Structure
  • Contrast
  • Energy Levels
  • Ground State
  • Mental Processes
  • Particles

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics.
  • Radar Systems Engineering.