Abstract

Belinfante's four-component spinor form of the equations investigated by Kemmer for particles of spin zero and one are obtained in general coordinate systems. These equations are then solved when no external field is present by means of two simple spinors which satisfy Dirac equations for particles of spin one-half. The results previously obtained for the vector case hold for the pseudo-scalar case with one additional condition which says that the spins must be oppositely oriented. The pseudo-vector and scalar cases have similar conditions. In these cases the results differ from the previous two in that if one particle of spin one-half satisfies a Dirac equation with a positive mass term then the other satisfies one with a negative mass term.

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