Quantum description of the moving magnetic quadrupole moment interacting with electric field configurations under the rotating background with the screw dislocation

In this paper, we present the quantum description that arose from the interaction of a moving magnetic quadrupole moment with electric field configurations in the background having a rotating frame of the presence of screw dislocation in the nonrelativistic regime. Interacting a moving particle involving a magnetic quadrupole moment with the chosen electric field configuration in a rotating frame can produce a kind of static scalar potential for the geometric background. We solve the relevant Schrödinger equation and acquire the exact solutions for that system by applying an analytical method. Besides, based on this interaction, owing to one of the choices for the electric field, we can see an Aharonov–Anandan quantum phase in the corresponding solutions.