The European Physical Journal C

, Volume 55, Issue 1, pp 145–157 | Cite as

Spinors in the Lorentz group and their implications for quantum mechanics

  • G. CoddensEmail author
Regular Article - Theoretical Physics


We investigate what the precise meaning is of a spinor in the rotation and Lorentz groups. We find that spinors correspond to a special coding of a group element. This is achieved by coding the whole reference frame into a special isotropic or “zero-length” vector. The precise form of that special vector in the Lorentz group is lacking in the literature, and this leads to some confusion, as the point that the coding can be complete has been missed. We then apply these ideas to quantum mechanics and find that the Dirac equation can be derived by just trying to describe a rotating electron.


Quantum Mechanic Dirac Equation Light Cone Lorentz Transformation Lorentz Group 
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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2008

Authors and Affiliations

  1. 1.Laboratoire des Solides IrradiésEcole Polytechnique, CEA/DSM/IRAMIS, CNRSPalaiseau CedexFrance

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