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Six-dimensional Dirac equation. (English) Zbl 0780.35109
Summary: The Dirac equation in six-dimensional relativity (three space and three time) is considered and shown to correspond to particles which have spatial \(\text{spin-}{1\over 2}\) and temporal \(\text{spin-}{1\over 2}\). Explicit forms of the spinor transformation are found. Plane wave solutions are obtained and their properties are given in terms of spatial and temporal spins and helicities. An expression is found for the charge conjugation operator.

MSC:
35Q75 PDEs in connection with relativity and gravitational theory
83A05 Special relativity
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