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Quantum Theory of the Generalized Wave Equations. I

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.1665342· OSTI ID:4783936
 [1]
  1. Syracuse Univ., NY (United States)
+ Show Author Affiliations

We have made a systematic analysis of the quantum theory of the infinite-component fields that transform under the combined representations of SL(2, C)(Majorana)ⓍDirac. A complete set of solutions of the wave equation includes solutions with timelike and spacelike momenta. We have explicitly calculated the mass spectra for the timelike and spacelike cases. Our method makes use of the decomposition of the product representation into reducible representations of the "little'" groups SU(2) and SU(1, 1). Finally, the quantization of the generalized fields is presented.

Research Organization:
Syracuse Univ., NY (United States)
Sponsoring Organization:
US Atomic Energy Commission (AEC)
NSA Number:
NSA-23-039788
OSTI ID:
4783936
Alternate ID(s):
OSTI ID: 4133171
Report Number(s):
NYO--3399-197; SU--1206-197
Journal Information:
Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 6 Vol. 11; ISSN 0022-2488
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (12)

Invalidity of TCP-theorem for infinite-component fields journal June 1968
Local fields with the wrong connection between spin and statistics journal April 1967
Teoria Relativistica di Particelle Con Momento Intrinseco Arbitrario journal December 1932
Majorana Representations of the Lorentz Group and Infinite-Component Fields journal December 1968
Infinite Multiplets and Local Fields journal April 1967
Diseases of Infinite-Component Field Theories journal July 1967
Spacelike Solutions of Infinite-Component Wave Functions journal June 1968
Current Algebras, Sum Rules, and Canonical Field Theories journal April 1969
Infinite-Component Field Theories, Fubini Sum Rules, Completeness, and Current Algebra. I. Discrete Spectra journal June 1969
Infinite-Component Field Theories, Fubini Sum Rules, Completeness, and Current Algebra. II. Mixed Spectra journal September 1969
Relativistically Invariant Solutions of Current Algebras at Infinite Momentum journal September 1967
Relativistic Wave Equations for the Elementary Particles journal April 1945

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Related Subjects

ELEMENTARY PARTICLES
FIELD THEORY
GROUP THEORY
MASS
MOMENTUM
QUANTUM FIELD THEORY
QUANTUM MECHANICS
Quantum Field Theories
SL GROUP
SPACE
SPECTRA
SU GROUP
SU-2 GROUP
TIME
Theoretical Physics