Dirac equation for particles with arbitrary half-integral spin

Details Dirac equation for particles with arbitrary half-integral spin Dirac equation for particles with arbitrary half-integral spin

2008-05-13

arxiv.org/abs/0805.1856v4

Physics

General Physics

9 pages

Scientific paper

The sets of 2(2s+1)-component Hermitian and unitary matrices through the two-component Pauli matrices are suggested, where Using these matrices sets, the eigenvalues of which are, the -component generalized Dirac equation for a description of arbitrary half-integral spin particles is constructed. The generalized Dirac equation is reduced to the sets of two-component matrix equations the number of which is equal to. The new Dirac equation of motion leads to an equation of continuity with a positive-definite probability density and also to the Klein-Gordon equation. This relativistic equation is causal in the presence of external-electromagnetic-field interaction. It is shown that, in the case of nonrelativistic limit, the relativistic equation presented is reduced to the Pauli equation describing the motion of half-integral spin particle in the electromagnetic field.

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