On representations of the inhomogeneous de Sitter group and on equations of the Schrodinger-Foldy type
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This paper is a continuation and elaboration of our work quant-ph/0206057 (Nucl. Phys. B, 1968, 7, 79) where some approach to the variable-mass problem were proposed. Here we have found a concret realization of irreducible representations of the inhomogeneous group P(1,n) - the group of translations and rotations in (1+n)-dimensional Minkowski space in two classes (when P_0^2-P_k^2>0 and P_0^2-P_k^2<0). All the P(1,n)-invariant equations of the Schrodinger-Foldy type are written down. Some questions of a physical interpretation of the quantum, mechanical scheme based on the inhomogeneous de Sitter group P(1,n) are discussed.
Report presented at the Conference on Composite Models of Elementary Particles (Institute for Theoretical Physics, Kiev, Ukrainian SSR, June 1968)
Report presented at the Conference on Composite Models of Elementary Particles (Institute for Theoretical Physics, Kiev, Ukrainian SSR, June 1968)