Journal ArticleDOI
Any l-state solutions of the Schrodinger equation interacting with Hellmann–Kratzer potential model
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In this article, the authors proposed a new potential called Hellmann-Kratzer potential, which is a superposition of Hellmann potential and modified Kratzer, and calculated the energy eigenvalue and the corresponding wave function using the Nikiforov-Uvarov method.Abstract:
The approximate analytical solutions of the radial Schrodinger equation have been obtained with a newly proposed potential called Hellmann–Kratzer potential. The potential is a superposition of Hellmann potential and modified Kratzer potential. The Hellmann–Kratzer potential actually comprises of three different potentials which include Yukawa potential, Coulomb potential and Kratzer potential. The aim of combining these potentials is to have a wide application. The energy eigenvalue and the corresponding wave function are calculated in a closed and compact form using the Nikiforov–Uvarov method. The energy equation for some potentials such as Kratzer, Hellmann, Yukawa and Coulomb potentials has also been obtained by varying some potential parameters. Our results excellently agree with the already existing literature. Some numerical results have been computed. We have plotted the behaviour of the energy eigenvalues with different potential parameters and also reported on the numerical result.read more
Citations
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Journal ArticleDOI
Thermal properties of Deng–Fan–Eckart potential model using Poisson summation approach
C. O. Edet,Uduakobong S. Okorie,Uduakobong S. Okorie,G. T. Osobonye,Akpan N. Ikot,Akpan N. Ikot,Gaotsiwe Joel Rampho,Ramazan Sever +7 more
TL;DR: In this article, the bound-state solutions of the radial Schrodinger equation with this adopted molecular model via the Factorization Method were obtained by using the improved Pekeris-type approximation, to deal with the centrifugal term.
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.
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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
Energy spectra and thermal properties of diatomic molecules in the presence of magnetic and AB fields with improved Kratzer potential
TL;DR: In this article, the improved screened Kratzer potential (ISKP) was investigated in the presence of external magnetic and Aharanov-Bohm (AB) fields within the framework of non-relativistic quan...
Journal ArticleDOI
Arbitrary ℓ-solutions of the Schrödinger equation interacting with Hulthén – Hellmann potential model
TL;DR: In this paper, bound state solutions of the radial Schrodinger equation were obtained by the superposition of Hulthen plus Hellmann potential within the framework of Nikiforov-Uvarov (NU) method for an arbitrary ǫ-state.
References
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Book
Quantum mechanics: Non-relativistic theory,
TL;DR: The basic concepts of quantum mechanics Energy and momentum Schrodinger's equation Angular momentum Perturbation theory Spin The identity of particles The atom The theory of symmetry Polyatomic molecules Motion in a magnetic field Nuclear structure Elastic collisions Mathematical appendices.
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Orthogonal Polynomials
TL;DR: In this paper, different aspects of the theory of orthogonal polynomials of one (real or complex) variable are reviewed and orthogonality on the unit circle is not discussed.