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 Daniel Antia, Ita Okon Akpan, Akpan Ndem Ikot, Elham Maghsoodi, Saber Zarrinkamar, Hassan Hassanabadi

Abstract


In this paper, we have presented the exact solutions of the Schrödinger 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 H2, CO, NO and N2  for various values of and . We have also computed the expectation values of, and the Virial theorem using the Hellmann-Feynmann theorem (HFT).

Keywords


Schrödinger equation; Energy eigenvalue; Eigenfunction; Diatomic molecules; Hellmann-Feynmann theorem

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DOI: http://dx.doi.org/10.17951/aaa.2015.70.167
Date of publication: 2016-04-29 12:28:33
Date of submission: 2016-01-08 16:06:21


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