SPIN WAVE - SPIN WAVE SCATTERING IN A HEISENBERG FERROMAGNET.

Abstract

Consideration is given to the scattering on one spin wave from another in a perfect simple cubic Heisenberg ferromagnet with nearest neighbor exchange only. An orthonormal set of two-spin-wave states is displayed, and the exchange hamiltonian is divided into a diagonal part and an off-diagonal part. The Lippmann-Schwinger scattering equation is solved for two spin derivations, and an exact exchange scattering cross section is obtained. The 'Golden Rule' is used to derive, in Born approximation, the dipole scattering cross section. It is concluded that if the Born approximation is valid for dipole scattering and if the ratio of cross sections is similar for face centered cubic lattices, then in EuS dipole scattering swamps out exchange scattering at low temperatures.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1965
Accession Number
AD0613606

Entities

People

  • Robert Gerald Boyd

Organizations

  • University of California, Riverside

Tags

DTIC Thesaurus Topics

  • Born Approximations
  • Crystal Lattices
  • Crystal Structure
  • Cubic Lattices
  • Equations
  • Low Temperature
  • Quantum Properties
  • Scattering
  • Scattering Cross Sections
  • Spin Waves

Fields of Study

  • Physics

Readers

  • Business Analytics
  • Calculus or Mathematical Analysis
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.