Analytical solutions of Schrödinger equation with new solvable potential family V(r)=A/r^2-B/r+Cr^(δ+1) via Nikiforov-Uvarov (NU) method

Akaninyene D Antia ,Akpan N Ikot ,I O Akpan ,E Maghsoodi ,S Zarrinkamar ,H Hassanabadi

doi:10.17951/aaa.2015.70.167

Analytical solutions of Schrödinger equation with new solvable potential family V(r)=A/r^2-B/r+Cr^(δ+1) via Nikiforov-Uvarov (NU) method

Akaninyene D Antia , Akpan N Ikot + Show 4 more

https://doi.org/10.17951/aaa.2015.70.167

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Publication Date: Apr 29, 2016

Affiliation: University of Uyo, University of Calabar, Islamic Azad University, Shahrood

#Nikiforov-Uvarov #Nikiforov-Uvarov Method + Show 8 more

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Abstract

In this paper, we have presented the exact solutions of the Schrodinger equation with the family of potentials V(r)=A/r^2-B/r+Cr^(δ+1). We have obtained the energy eigenvalues and the corresponding wave functions expressed in terms of the associated Laguerre polynomials for using the Nikiforov-Uvarov (NU) method. The energy levels for each case is computed for diatomic molecules H 2 , CO, NO and N 2 for various values of and . We have also computed the expectation values of, and the Virial theorem using the Hellmann-Feynmann theorem (HFT).

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