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Contractions of space-time groups and relativistic quantum mechanics

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Abstract

The relation of the conformal group to various earlier proposed relativistic quantum mechanical dynamical groups (and other related groups) is studied in the framework of projective geometry, by explicitly constructing the contractions of the six-dimensional coordinate transformations. Five-dimensional realizations are then derived. An attempt is made to improve our physical insight through geometry.

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Authors and Affiliations

  1. Department of Physics, Boston University, Boston, Massachusetts

    P. L. Huddleston, M. Lorente & P. Roman

Authors
  1. P. L. Huddleston
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  2. M. Lorente
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  3. P. Roman
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Additional information

On leave of absence from Dep. de Fisica Teorica, University of Madrid, Madrid, Spain. Sponsored by G.I.F.T.

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Huddleston, P.L., Lorente, M. & Roman, P. Contractions of space-time groups and relativistic quantum mechanics. Found Phys 5, 75–87 (1975). https://doi.org/10.1007/BF01100317

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