A STUDY OF THE COEFFICIENTS OF THE SPIN PERMUTATION OPERATORS IN THE EFFECTIVE SPIN HAMILTONIAN,

Abstract

The Heisenberg Spin Hamiltonian is derived for a system of N electrons and a set of fixed ion cores with the Hamiltonian spinfree. The wavefunction has the form Psi = AF H, where A is the antisymmetrizer, F, a function of coordinate space is required to have no symmetry, and H is a function of the spin coordinates. By the use of the representation of the permutation group, the coefficients of the spin permutation operators are written as linear combinations of the S sub n group functions. The formulism is then applied to 3- and 6- electron systems, where the dependence of the S sub n group upon lattice spacing is studied. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1964
Accession Number
AD0611834

Entities

People

  • Thomas C. Collins

Organizations

  • Air Force Research Laboratory

Tags

DTIC Thesaurus Topics

  • Charged Particles
  • Coefficients
  • Electrons
  • Elementary Fermions
  • Elementary Particles
  • Fermions
  • Permutations
  • Symmetry

Fields of Study

  • Physics

Readers

  • Linear Algebra
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Microelectronics
  • Space