POSITRON ANNIHILATION RATE IN AN ELECTRON GAS.

Abstract

A discussion is given of different computational methods for the evaluation of the positron annihilation rate in an electron gas, and a comparison is given with experimental data for positron annihilation in certain metals. Special emphasis is put on the consistency requirements of the problem, these being (1) the polarization cloud around the positron should have unit charge, (2) the electron 'positron' and electron electron pair correlation function be positive definite even if the positron charge is varied, and (3) the Nozieres and Pines sum rule for the dielectric constant should be satisfied. A detailed discussion is given on how these requirements are taken into account in perturbation theory. Finally, a specific ansatz is made for the polarization cloud around the positron in terms of a bound state wave function orthogonalized to a set of deformed plane waves. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1964
Accession Number
AD0608291

Entities

People

  • Birger Bergersen

Organizations

  • Brandeis University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Computational Science
  • Dielectric Permittivity
  • Electron Gas
  • Electrons
  • Experimental Data
  • Perturbation Theory
  • Perturbations
  • Plane Waves
  • Polarization
  • Positrons
  • Wave Functions
  • Waves

Fields of Study

  • Physics

Readers

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

Technology Areas

  • Microelectronics