Polynomial Solution of Non-Central Potentials
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- Ikhdair, S.M. & Sever, R. Int J Theor Phys (2007) 46: 2384. doi:10.1007/s10773-007-9356-8
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We show that the exact energy eigenvalues and eigenfunctions of the Schrödinger equation for charged particles moving in certain class of non-central potentials can be easily calculated analytically in a simple and elegant manner by using Nikiforov and Uvarov (NU) method. We discuss the generalized Coulomb and harmonic oscillator systems. We study the Hartmann Coulomb and the ring-shaped and compound Coulomb plus Aharanov–Bohm potentials as special cases. The results are in exact agreement with other methods.