NON-RELATIVISTIC DESCRIPTION FOR A SPIN 1 PARTICLE IN EXPANDING DE SITTER UNIVERSE
Abstract
For expanding de Sitter space-time, a spin 1 particle is investigated in the non-relativistic Pauli approximation. After separation of the variables in the relativistic Duffin–Kemmer–Petiau equation, the procedure of non-relativistic approach is performed for the system of 10 equations in the variables (t, r). As a result, the problem reduces to three second-order related differential equations. Requirement of diagonalization of the parity operator allows the system to be split into (1 + 2) subsystems. The fourth-order equations obtained are solved with the help of the factorization method, which permits the problem to be reduced to the analysis of second-order equations. In this way, the Pauli equation for a spin 1 particle in the expanding De Sitter universe is solved exactly: three series of states and the relevant rules of quantization of the spectral parameter are obtained.
About the Author
E. M. Ovsiyuk
Mozyr State Pedagogical University named after I. P. Shamyakin
Belarus
Belarus
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