Spinorial relativistic rotator: The transformation from quasi-Newtonian to Minkowski coordinates

Phys. Rev. D 30, 409 – Published 15 July 1984
L. C. Biedenharn, A. Bohm, M. Tarlini, H. van Dam, and N. Mukunda


There exists a remarkably close relationship between the operator algebra of the Dirac equation and the corresponding operators of the spinorial relativistic rotator (an indecomposable object lying on a mass-spin Regge trajectory). The analog of the Foldy-Wouthuysen transformation (more generally, the transformation between quasi-Newtonian and Minkowski coordinates) is constructed and explicit results are discussed for the spin and position operators. Zitterbewegung is shown to exist for a system having only positive energies.

DOI: http://dx.doi.org/10.1103/PhysRevD.30.409

  • Received 17 October 1983
  • Published in the issue dated 15 July 1984

© 1984 The American Physical Society

Authors & Affiliations

L. C. Biedenharn*, A. Bohm, and M. Tarlini

  • Center for Particle Theory, The University of Texas at Austin, Austin, Texas 78712

H. van Dam

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

N. Mukunda

  • Indian Institute of Science, Bangalore 560012, India

  • *On leave from Department of Physics, Duke University, Durham, N.C. 27706.
  • On leave from Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, Italy.

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