Bound state solutions of Schrödinger equation for a more general exponential screened coulomb potential via Nikiforov-Uvarov method

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Published: Sep 30, 2010
DOI: https://doi.org/10.26850/1678-4618eqj.v35.3.2010.p103-107
Keywords:
Nikiforov-Uvarov method, eigenvalues, eigenfunctions, general exponential screened coulomb potential

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Benedict Iserom Ita
University of Calabar, Department of Pure and Applied Chemistry, Calabar, Nigeria.
https://orcid.org/0000-0002-5374-819X
Phenomena Ekuri
University of Calabar, Department of Pure and Applied Chemistry, Calabar, Nigeria.
Idongesit Okon Isaac
University of Calabar, Department of Mathematics/Statistics and Computer Science, Calabar, Nigeria.
Abosede Olubunmi James
University of Port Harcourt, Department of Pure and Industrial Chemistry, Port Harcourt, Nigeria.

Abstract

The arbitrary angular momentum solutions of the Schrödinger equation for a diatomic molecule with the general exponential screened coulomb potential of the form V(r) = (− a / r){1+ (1+ br )e−2br } has been presented. The energy eigenvalues and the corresponding eigenfunctions are calculated analytically by the use of Nikiforov-Uvarov (NU) method which is related to the solutions in terms of Jacobi polynomials. The bounded state eigenvalues are calculated numerically for the 1s state of N2 CO and NO.

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How to Cite
Ita, B. I., Ekuri, P., Isaac, I. O., & James, A. O. (2010). Bound state solutions of Schrödinger equation for a more general exponential screened coulomb potential via Nikiforov-Uvarov method. Eclética Química, 35(3), 103–107. https://doi.org/10.26850/1678-4618eqj.v35.3.2010.p103-107
Issue
Vol. 35 No. 3 (2010): Eclética Química
Section
Original articles
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References

S. M. Ikhdair and R. Sever (2008). Improved analytical approximation to arbitrary  - state solutions of the Schrödinger equation for the hyperbolical potentials. Personal Communication.

C. Berkdemir and J. Han (2005). Chem. Phys. Lett. 409, 203 – 207.

E. Aydmer and C. Orta (2008). Quantum information entropies of the eigenstates of the eigenvalues of the Morse potential. Personal Communication.

H. Taseli (1997). Int. J. Quantum Chemistry, 63(5), 949 – 959.

M. W. Kermode, M. L. J. Allen, J. P. McTavish and A. Kervell (1984). J. Phys. G: Nucl. Phys. 773 – 783.

S. M. Ikhdair and R. Sever (2008). Bound states of a more general exponential screened coulomb potential. Personal Communication.

A. F. Nikiforov and U. B. Uvarov (1988). Special Functions of Mathematical Physics, Birkhauser: Basel.

C. Tezcan and R. Sever (2008). Quantum Physics. 15, 1 – 20.

S. Ikhdair and R. Sever (2008). Cent. Eur. J. Physics. 6, 141 – 152.