Journal ArticleDOI
Bound state solutions of the Schrodinger equation for the modified Kratzer potential plus screened Coulomb potential
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In this article, an approximate solution of the Schrodinger equation for the modified Kratzer potential plus screened Coulomb potential model, within the framework of Nikiforov-Uvarov method, was obtained.Abstract:
We obtained an approximate solution of the Schrodinger equation for the modified Kratzer potential plus screened Coulomb potential model, within the framework of Nikiforov–Uvarov method. The bound state energy eigenvalues for N2, CO, NO, and CH diatomic molecules were computed for various vibrational and rotational quantum numbers. Special cases were considered when the potential parameters were altered, resulting into modified Kratzer potential, screened Coulomb potential, and standard Coulomb potential, respectively. Their energy eigenvalues expressions and numerical computations agreed with the already existing literatures.read more
Citations
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Journal ArticleDOI
Asymptotic iteration method for eigenvalue problems
TL;DR: In this paper, an asymptotic interation method for solving second-order homogeneous linear differential equations of the form y'' = lambda(x) y' + s(x), y is introduced.
Journal ArticleDOI
Thermodynamic properties of Aharanov–Bohm (AB) and magnetic fields with screened Kratzer potential
Akpan N. Ikot,Akpan N. Ikot,C. O. Edet,P. O. Amadi,Uduakobong S. Okorie,Uduakobong S. Okorie,Gaotsiwe Joel Rampho,Hewa Y. Abdullah +7 more
TL;DR: In this paper, the Schrodinger equation with screened Kratzer potential (SKP) in the presence of external magnetic and AB-flux fields is investigated using the factorization method.
Journal ArticleDOI
Bound state solutions of the Schrödinger equation with energy-dependent molecular Kratzer potential via asymptotic iteration method
Akpan N. Ikot,Uduakobong S. Okorie,Alalibo T. Ngiangia,Clement A. Onate,C. O. Edet,I. O. Akpan,P. O. Amadi +6 more
TL;DR: In this article, the exact bound state energy spectrum of the Schrodinger equation with energy dependent molecular Kratzer potential using asymptotic iteration method (AIM) was obtained.
Posted Content
Thermodynamic properties of Aharonov-Bohm (AB) and magnetic fields with screened Kratzer potential
TL;DR: In this paper, the Schrodinger equation with screened Kratzer potential (SKP) in the presence of external magnetic and AB-flux fields is investigated using the factorization method.
Journal ArticleDOI
Thermodynamic functions for diatomic molecules with modified Kratzer plus screened Coulomb potential
Uduakobong S. Okorie,Uduakobong S. Okorie,C. O. Edet,Akpan N. Ikot,Gaotsiwe Joel Rampho,Ramazan Sever +5 more
TL;DR: In this article, the modified Kratzer plus screened Coulomb potential has been used to obtain the energy eigenvalues of the Schrodinger equation for CO, NO, and N2 diatomic molecules.
References
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Journal ArticleDOI
Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables
Journal ArticleDOI
The Rotation-Vibration Coupling in Diatomic Molecules
TL;DR: In this article, a solution of the wave equation for the nuclear motion of a diatomic molecule with a Morse potential function and the rotational term included is given, and the wave functions are found to have the same form as the functions obtained when the rotation term is neglected.
Journal ArticleDOI
Variational wave functions for a screened Coulomb potential
Richard L. Greene,C. Aldrich +1 more
TL;DR: In this article, the energy levels of the nonzero angular momentum states of the static screened Coulomb potential were calculated using variational trail functions, and it was shown that Hulth-en-like trial functions provide better variational energies and wave functions with fewer parameters than hydrogenic or Slater-type functions for screened-coulomb and similar potentials.
Journal ArticleDOI
Asymptotic iteration method for eigenvalue problems
TL;DR: In this paper, an asymptotic iteration method for solving second-order homogeneous linear differential equations of the form y'' = λ0(x)y' + s 0(x),y is introduced.
Journal ArticleDOI
Dissociation Energy and Long‐Range Potential of Diatomic Molecules from Vibrational Spacings of Higher Levels
TL;DR: Dissociation energy and long range interatomic potential of diatomic molecules from vibrational spacings of higher levels were analyzed in this paper, showing that the potential of a diatomic molecule to be dissociation-free is very high.