Relativistic two-body models

Journal Article · Tue Aug 01 04:00:00 EDT 1989 · Annals of Physics (New York); (USA)

DOI:https://doi.org/10.1016/0003-4916(89)90004-3· OSTI ID:5351709

Polyzou, W N ^[1]

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1. Department of Physics and Astronomy, The University of Iowa, Iowa City, Iowa 52242 (US)

A new method is introduced for constructing relativistic models of two directly interacting particles. This method includes the construction of B. Bakmjian and L. H. Thomas ({ital Phys}. {ital Rev}. {bold 92} (1985), 995) and generalizations (S. N. Sokolov and Shatnii, {ital Teor}. {ital Mat}. {ital Fiz}. {bold 37} (1978), 291; F. Coester and W. N. Polyzou, {ital Phys}. {ital Rev}. {ital D} {bold 26} (1982), 1348), to P. A. M. Dirac's forms ({ital Rev}. {ital Mod}. {ital Phys}. {bold 21} (1949), 392) of the dynamics as special cases. The new feature of this method is the way in which the theory of group representations is used to decouple the problem of adding interactions from the problem of ensuring full Poincare invariance. An analytically solvable example is given and discussed. {copyright} 1989 Academic Press, Inc.

• OSTI ID: 5351709
• Journal Information: Annals of Physics (New York); (USA), Journal Name: Annals of Physics (New York); (USA) Vol. 193:2; ISSN APNYA; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANNIHILATION OPERATORS
BANACH SPACE
BOSONS
CLEBSCH-GORDAN COEFFICIENTS
COMPOSITE MODELS
CREATION OPERATORS
DIFFERENTIAL EQUATIONS
EIGENSTATES
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
GROUP THEORY
HADRONS
HILBERT SPACE
INTERACTIONS
LIE GROUPS
LORENTZ GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATHEMATICS
MATRIX ELEMENTS
MECHANICS
MESONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PARTICLE KINEMATICS
PARTICLE MODELS
POINCARE GROUPS
QUANTUM MECHANICS
QUANTUM OPERATORS
QUARK MODEL
RELATIVITY THEORY
SCHROEDINGER EQUATION
SPACE
SPACE-TIME
SYMMETRY GROUPS
WAVE EQUATIONS