Analytical solution of the Klein-Fock-Gordon equation for modified potential Klingberg plus ring shaped potential
In this study, the bound state's solution of the modified Klein-Fock-Gordon equation is found for the new supposed combined Klingberg potential and the ring-chaped potential. Analytical expressions for the energy eigenvalue and the corresponding radial wave functions are obtained for any l ≠ 0 orbital quantum number. Obtained eigenfunctions are expressed in terms of the Jacobi and Laguerre polynomials for arbitrary l ≠ 0 states. To overcome the potential's centrifugal part difficulties, we applied the developed approximation scheme for studying bound states. It is shown that energy levels and eigenfunctions are susceptible, depending on potential parameters.
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Keywords
modified Klingberg potential plus ring shaped potential, Nikiforov-Uvarov method, spectral problemAuthors
| Name | Organization | |
| Tarverdiyeva V.A. | Institute of Physics Azerbaijan National Academy | vefa.tarverdiyeva@mail.ru |
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