UNITARITY AND REDUCTION FORMULAS; PRELIMINARY VERSION.

Abstract

The content of x-space reduction formulas in q-space is discussed using the example of fermion-boson scattering. The splitting of the T-operator is shown to correspond to a natural decomposition of the unitarity condition for T, and may be deduced from unitarity alone. Reality conditions for M sub 1 are derived from q-space properties without reference to x-space. Necessary and sufficient conditions are given for T being unitary. Iteration methods are developed which lead to a determination of elastic amplitudes starting with one-particleexchange-contributions, i.e., pole terms and form factors, and the whole contribution from inelastic processes as input force. The essential part of the iteration method is a prescription to construct off-shell elements, especially off-shell-one-particle-exchange-contributions.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1964
Accession Number
AD0615151

Entities

Organizations

  • University of Marburg

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Chemical Reactions
  • Decomposition
  • Dissociation
  • Intensity
  • Iterations
  • Particles
  • Scattering
  • Splitting

Fields of Study

  • Physics

Readers

  • Graph Algorithms and Convex Optimization.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Space