S=0 particle with the cox structure and polarizability, in presence of magnetic field

Abstract

In the present paper, we will specify the equations for a spin 0 particle with two additional characteristics, Cox structure and polarizability, to the cylindrical coordinates, and in presence of the external uniform magnetic field. After separating the variables, we derive the system of 5 first order differential equations in polar coordinate. This system may be reduced to a second order equation for a primary function, which is solved in terms of the confluent hypergeometric functions. We derive a formula for energies, it depends on two additional characteristics.