On Projections of Spinor Spaces onto Minkowski Space

  • J. Kocik
  • J. Rzewuski


The problem of projecting spinor spaces on Minkowski space is rather old. The first formula of this type is
projecting the two-dirensional complex spinor space C2 onto the light cone in M4. One can consider (1.1) also as a projection on E3. These projection are consistent with the group in the sense that SU(2) transformations of the ξa induce SO(3) transformations of xl, x2, x3 and leave x0 invariant. Transformations of SL(2,C) induce SO(3.1) transformations of xμ.


Hilbert Space Minkowski Space Light Cone Spinor Space Internal Symmetry 
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Copyright information

© Springer Science+Business Media New York 1986

Authors and Affiliations

  • J. Kocik
    • 1
  • J. Rzewuski
    • 2
    • 3
  1. 1.Department of MathematicsSouthern Illinois University at CarbondaleCarbondaleUSA
  2. 2.Department of Physics and AstronomySouthern Illinois University at CarbondaleCarbondaleUSA
  3. 3.On leave of absence from Institute of Theoretical PhysicsUniversity of WroclawWroclawPoland

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