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In the present study, we examine two dimensional solution of the Schrodinger equation for the exponential cosine screened Coulomb potential in a magnetic field. We apply the asymptotic iteration method to obtain energy eigenvalues. Since this equation has no analytical solution, the energy eigenvalues have been numerically obtained for different screening parameter, the Larmor frequency and the strength coupling constant. Effect of the magnetic field on the energy eigenvalues is precisely presented.

The energy eigenvalues of the exponential cosine screened Coulomb potential with magnetic field