Spectrum of Multipolar Potential by Perturbation Theory in 2D Systems

Abstract

We discuss in this work a very important topic in the field of quantum physics; which refers to quantum spectrum of the multipole expansion (monopole, dipole and quadrupole potential). We write the solutions for solutions of Schrödinger equation in two-dimensional system for the Coulomb potential. We talked about the theory of perturbation theory use this theory. to calculate the corrections induced by dipole and quadrupole potentials. to the energies of the monopole term by Schrödinger theory. Finally, we discuss the results. We have found that there is a special case where the dipole and quadrupole corrections equal the Coulomb energy and thus the total energy goes to zero and there is no bound state for our system in this case.