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Bound states resulting from interaction of the non-relativistic particles with the multiparameter potential

Bound states resulting from interaction of the non-relativistic particles with the multiparameter potential
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摘要 In this study, we present the analytical solutions of bound states for the Schrodinger equation with the mulfiparameter potential containing the different types of physical potentials via the asymptotic iteration method by applying the Pekeristype approximation to the centrifugal potential. For any n and l (states) quantum numbers, we derive the relation that gives the energy eigenvalues for the bound states numerically and the corresponding normalized eigenfunctions. We also plot some graphics in order to investigate effects of the multiparameter potential parameters on the energy eigenvalues. Furthermore, we compare our results with the ones obtained in previous works and it is seen that our numerical results are in good agreement with the literature. In this study, we present the analytical solutions of bound states for the Schrodinger equation with the mulfiparameter potential containing the different types of physical potentials via the asymptotic iteration method by applying the Pekeristype approximation to the centrifugal potential. For any n and l (states) quantum numbers, we derive the relation that gives the energy eigenvalues for the bound states numerically and the corresponding normalized eigenfunctions. We also plot some graphics in order to investigate effects of the multiparameter potential parameters on the energy eigenvalues. Furthermore, we compare our results with the ones obtained in previous works and it is seen that our numerical results are in good agreement with the literature.
机构地区 Mersin University
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第10期38-48,共11页 中国物理B(英文版)
关键词 multiparameter potential Schrodinger equation bound states asymptotic iteration method multiparameter potential, Schrodinger equation, bound states, asymptotic iteration method
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