The structure of linear relativistic wave equations. II. Representations

Abstract

A representation of the spin matrices I μv and of the matrices α μ , associated with the wave equations of part I, is constructed. In this representation s , the total spin, is diagonal, which simplifies the calculation of the simultaneous mass and spin eigenvalues. Examples of mass-spin spectra are given, and it is proved that in certain, easily recognized, cases the mass eigenvalues are not all independent. The matrix elements of the magnetic moment are calculated, and an example is given of a particle with an intrinsic magnetic moment equal to that of the proton.