Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-04-09
Horizons in World Physics, ed. by Tory V. Lynch, Vol. 245 (2004), p.63-84 (Nova Science Publishers, Inc., Hauppauge, NY)
Physics
High Energy Physics
High Energy Physics - Theory
27 pages, minor changes, typos in Eq. (5) corrected, to appear in Horizons in World Physics (Nova Science Publishers, Inc., Ha
Scientific paper
I suggest wave equations for the scalar, pseudoscalar, vector, and pseudovector fields with different masses for spin zero and one states. Tensor, matrix, and quaternion formulations of fields with two mass and spin states are considered. This is the generalization of the Dirac-K\"ahler equation on the case of different masses of fields with spin one and zero. The equation matrices obtained are simple linear combinations of matrix elements in the 16-dimensional space. Spin projection operators and solutions of equations (for spin one) in the form of matrix-dyads are obtained. The canonical quantization of fields under consideration is studied. The anomalous interaction of the scalar, pseudoscalar, vector, and pseudovector fields with the external electromagnetic field is considered. Three constants which characterize the anomalous magnetic moment and quadrupole electric moment of a particle are introduced.
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