Anderson's absolute objects and constant timelike vector hidden in Dirac matrices

Details Anderson's absolute objects and constant timelike vector hidden in Dirac matrices Anderson's absolute objects and constant timelike vector hidden in Dirac matrices

2001-12-17

arxiv.org/abs/quant-ph/0112091v1

Physics

Quantum Physics

10 pages 0 figures

Scientific paper

Anderson's theorem asserting, that symmetry of dynamic equations written in the relativisitically covariant form is determined by symmetry of its absolute objects, is applied to the free Dirac equation. Dirac matrices are the only absolute objects of the Dirac equation. There are two ways of the Dirac matrices transformation: (1) Dirac matrices form a 4-vector and wave function is a scalar, (2) Dirac matrices are scalars and the wave function is a spinor. In the first case the Dirac equation is nonrelativistic, in the second one it is relativistic. Transforming Dirac equation to another scalar-vector variables, one shows that the first way of transformation is valid, and the Dirac equation is not relativistic

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