Eigen Solutions, Shannon Entropy and Fisher Information under the Eckart Manning Rosen Potential Model

Onate, C.A and Onyeaju, M.C and Ikot, A.N and Idiodi, J.O.A and Ojonubah, J.O (2017) Eigen Solutions, Shannon Entropy and Fisher Information under the Eckart Manning Rosen Potential Model. Journal of the Korean Physical Society,, 70 (4). pp. 339-347.

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Abstract

We solved the Schr¨ odinger equation with a certain approximation to the centrifugal term for an arbitrary angular momentum state with the Eckart Manning Rosen potential. The bound-state energy eigenvalues and the corresponding wave functions have been approximately obtained using the parametric Nikiforov Uvarov method. The solutions of the Schr¨ odinger equation for the Eckart potential, Manning Rosen potential, and Hulth´ en potential have been obtained using a certain transformation. The concepts of the Shannon entropy and the Fisher information of a system under the Eckart Manning Rosen potential are investigated in detail. The behavior of the screening parameter and the quantum number n for Fisher information and the Shannon entropyare also investigated.

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