Relativistic Phase Space Arising out of the Dirac Algebra

  • D. Bohm
  • B. J. Hiley


The spinor plays a fundamental role in the quantum theory (especially in its relativistic form) but its overall structure and physical significance are not clear.


Dirac Equation Dirac Operator Clifford Algebra Liouville Equation Antisymmetric Tensor 
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References and Notes

  1. 1.
    F. A. M. Frescura and B. J. Hiley, Am. J. Phys. 49, 152 (1980).CrossRefGoogle Scholar
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    R. Penrose, Battelle Rencontres ,C. M. DeWitt and J. A. Wheeler, editors (Benjamin, New York, 1968), p. 121.Google Scholar
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    H. A. Kramers, Quantum Mechanics (Dover, New York, 1964).Google Scholar
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    D. Bohm, Perspectives in Quantum Theory. Essays in Honour of Alfred Landé ,W. Yourgrau and A. van der Merwe, editors (MIT, Cambridge, Massachusetts, 1971), p. 78.Google Scholar
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    E. M. Corson, introduction to Tensors, Spinors, and Relativistic Wave Equations (Blackie, London, 1955).Google Scholar
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    M. Schönberg, Nuovo Cimento Supp. 6, 356 (1957).CrossRefGoogle Scholar
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    D. Bohm and B. J. Hiley, Foundations of Physics 11, 179 (1981).CrossRefGoogle Scholar
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    E. Kähler, Deutsch. Akad. Wiss. Berlin Kl. Math. Phys. Tech. No. 1, 5 (1961).Google Scholar
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    For a defintion of these terms, see P. J. Hilton and S. Wylie, Homoiogy Theory (Cambridge University Press, Cambridge, 1960).CrossRefGoogle Scholar
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    D. Bohm, B. J. Hiley, and A. Stuart, Int. J. Theor. Phys. 3, 171 (1970).CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1983

Authors and Affiliations

  • D. Bohm
    • 1
  • B. J. Hiley
    • 1
  1. 1.Department of Physics, Bukbeck CollegeUniversity of LondonLondonEngland

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