UNITARY REPRESENTATIONS OF U(2.2) AND MASSLESS FIELDS

Abstract

This paper contains a discussion of unitary irreducible representations of the group U(2,2) in terms of the non-compact algebra of creation and annihilation operators and some applications to massless fields. In particular, the U(2,2) algebra yields discrete values for p4 (energy), one of its generators. The little group and wave equations of massless fields are also derived from the Lie algebra of U(2,2).

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1966
Accession Number
AD0654316

Entities

People

  • Behram Kursunoglu

Organizations

  • University of Miami

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Angular Momentum
  • Elementary Particles
  • Energy
  • Equations
  • Generators
  • High Energy
  • Particles
  • Polarization
  • Quantum Numbers
  • Quantum Properties
  • Rotation
  • Spin Quantum Numbers
  • Symmetry
  • Three Dimensional
  • Translations
  • Wave Equations

Fields of Study

  • Mathematics

Readers

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