Composite systems viewed as relativistic quantal rotators: Vectorial and spinorial models

N. Mukunda, H. van Dam, and L. C. Biedenharn
Phys. Rev. D 22, 1938 – Published 15 October 1980
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Abstract

The constrained relativistic Hamiltonian dynamics of Dirac is applied to two models for composite objects having a nontrivial internal space. One model has a four-vector as internal manifold, the other a real four-spinor. The corresponding quantum mechanics is developed, and the two models each possess a Regge trajectory (mass related to spin) having the minimal (2S+1) degeneracy, unlike the Regge-Hanson spherical top model with (2S+1)2 degeneracy. The spinorial model is most promising and allows (in the quantal case) electromagnetic interactions via minimal coupling, leading, for example, to intrinsic spin magnetic moments. An extension to "relativistic SU(6)" is shown to exist.

  • Received 15 April 1980

DOI:https://doi.org/10.1103/PhysRevD.22.1938

©1980 American Physical Society

Authors & Affiliations

N. Mukunda*

  • Physics Department, Duke University, Durham, North Carolina 27706

H. van Dam

  • Physics Department, University of North Carolina, Chapel Hill, North Carolina 27514

L. C. Biedenharn

  • Physics Department, Duke University, Durham, North Carolina 27706

  • *On leave of absence from the Indian Institute of Science, Bangalore 560012, India.

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Vol. 22, Iss. 8 — 15 October 1980

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