COX NONRELATIVISTIC PARTICLE OF INTRINSIC STRUCTURE IN THE ELECTRIC FIELD: ANALYSIS IN THE LOBACHEVSKY SPACE
Abstract
The generalized Schrődinger equation for the Cox scalar particle is studied in the presence of the electric field on the background of the Lobachevsky space. Separation of variables is performed. The equation describing the motion along the z axis turns out to be much more complicated than that for the Cox particle in the Minkowski space. It is reduced to the second-order differential equation with two regular singularities and one irregular singularity of rank 2 that is identified as the confluent Heun equation. The nearby singular points of the derived equation correspond to the physical domains z ± ∞. The solutions of the equation are constructed with the help of the power series. The series convergence is examined by the Poincare – Perrone method. These series converge in the whole physical domain z ∈ −∞,+∞ ( ).
About the Authors
O. V. Veko
B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus
Belarus
Postgraduate
Belarus
Postgraduate
E. M. Ovsiyuk
Mozyr State Pedagogical University named after I. P. Shamyakin
Belarus
Ph. D. (Physics and Mathematics), Associate Professor
Belarus
Ph. D. (Physics and Mathematics), Associate Professor
V. M. Red’kov
B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus
Belarus
D. Sc. (Physics and Mathematics), Chief Researcher, Center of Theoretical Physics
Belarus
D. Sc. (Physics and Mathematics), Chief Researcher, Center of Theoretical Physics
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