Interaction of the magnetic quadrupole moment of a non-relativistic particle with an electric field in a rotating frame

Abstract We study the interaction of magnetic quadrupole moment of neutral particle systems (such as atoms or molecules) with a radial electric field for non-relativistic particles in a rotating frame that tends to a uniform effective magnetic field perpendicular to the plane of motion of the neutral particle. We solve the corresponding Schrodinger equation and obtain the eigenfunctions, in terms of Heun polynomials, and the energy levels of the field for that system.