Quantum relativistic oscillator. III. Contraction between the algebras of SO(3,2) and the three-dimensional harmonic oscillator

Journal Article · Fri Nov 15 04:00:00 EST 1985 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.32.2828· OSTI ID:6198373

Bohm, A; Loewe, M; Magnollay, P; Tarlini, M; Aldinger, R R; Biedenharn, L C; van Dam, H

This paper concerns a relativistic model of a particle with internal structure: the quantum relativistic oscillator. We distinguish the nonrelativistic limit of the overall motion from the nonrelativistic limit of the internal structure. The latter limit is given in terms of a contraction between the algebra of SO(3,2) and that of the three-dimensional harmonic oscillator. We analyze this contraction process in detail and show that the quantum relativistic oscillator is the appropriate relativistic generalization of harmonic internal motion.

• Research Organization: Center for Particle Theory, University of Texas, Austin, Texas 78712
• OSTI ID: 6198373
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 32:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

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