Improved analytical approximation to arbitrary l-state solutions of the Schrodinger equation for the hyperbolical potentials

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2009-10-01

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IKHDAİR, SAMEER
Sever, Ramazan

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The Schrodinger equation for the rotational-vibrational (ro-vibrational) motion of a diatomic molecule with empirical potential functions is solved approximately by means of the Nikiforov-Uvarov method. The approximate energy spectra and the corresponding normalized total wavefunctions are calculated in closed form and expressed in terms of the hypergeometric functions or Jacobi polynomials P-n((mu,nu)) (x), where mu > -1, nu > -1 and x is an element of[-1, +1]. The s-waves analytic solution is obtained. The numerical energy eigenvalues for selected H-2 and Ar-2 molecules are also calculated and compared with the previous models and experiments. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Subject Keywords

General Physics and Astronomy

URI

https://hdl.handle.net/11511/62701

Journal

ANNALEN DER PHYSIK

DOI

https://doi.org/10.1002/andp.200910369

Collections

Department of Physics, Article

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Citation Formats

S. IKHDAİR and R. Sever, “Improved analytical approximation to arbitrary l-state solutions of the Schrodinger equation for the hyperbolical potentials,” ANNALEN DER PHYSIK, pp. 747–758, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62701.