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1
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The Semi-Relativistic Scattering States of the Hulthén and Hyperbolic-Type Potentials

100%
Hassanabadi H., Yazarloo B., Hassanabadi S., Zarrinkamar S.
Acta Physica Polonica A
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2013
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vol. 124
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issue 1
20-22
EN
In this paper, the scattering states of the spinless-Salpeter equation are investigated for Hulthén and hyperbolic-type potentials for any arbitrary l-state. Approximate analytical formulae of the wave functions and the scattering phase shifts are reported.
2
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Solution of Spinless Salpeter Equation with Generalized Hulthén Potential Using SUSYQM

100%
Ikot A., Isonguyo C., Chad-Umoren Y., Hassanabadi H.
Acta Physica Polonica A
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2015
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vol. 127
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issue 3
674-677
EN
The solution of spinless Salpeter equation with generalized Hulthén potential using SUSYQM formalism is presented. We obtained approximately the energy eigenvalues and the corresponding wave function in a closed form for any arbitrary l state. We have also reported on the numerical result of our work.
3
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Relativistic Scattering States of the Hellmann Potential

100%
Yazarloo B., Mehraban H., Hassanabadi H.
Acta Physica Polonica A
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2015
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vol. 127
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issue 3
684-688
EN
In this letter, the scattering state solutions of the Dirac equation for spin and pseudospin symmetries are obtained for the Hellmann potential. The normalized wave functions and scattering phase shifts are calculated for both spin and pseudospin symmetries. Scattering properties for Coulomb-like and Yukawa-like potentials are also studied as limiting cases.
4
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Exact Solution of Klein-Gordon with the Pöschl-Teller Double-Ring-Shaped Coulomb Potential

100%
Hassanabadi H., Ikot A., Zarrinkamar S.
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vol. 126
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issue 3
647-652
EN
Analytical solution of the Klein-Gordon equation under the equal scalar and vector Pöschl-Teller double-ring-shaped Coulomb potentials is obtained. We have used the Nikiforov-Uvarov method in our calculations. The radial wave function in terms of the Laguerre polynomials is presented and the angular wave functions are expressed in terms of the Jacobi polynomials. We have also considered some special cases of the Pöschl-Teller double-ring-shaped Coulomb potential and represented the energy eigenvalues and the corresponding wave functions.
5
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Commutative vs. Noncommutative Space Statistical Properties of Two-Dimensional Harmonic Oscillator in Magnetic Field

100%
Hassanabadi H., Derakhshani Z., Zarrinkamar S.
Acta Physica Polonica A
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2016
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vol. 129
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issue 1
3-7
EN
We consider the Schrödinger equation in presence of an external magnetic field in commutative and noncommutative spaces and by solving the equation in an exact analytical manner, report the statistical quantities of the system.
6
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A Unitary Transformation and Spectrum of a Three-Electron Quantum Dot

100%
Hassanabadi H., Rahimov H., Ghasem H.
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EN
We consider the Hamiltonian of a three-electron quantum dot composed of parabolic confinement plus the Coulomb terms. Instead of using the Jacobi coordinates, we apply a unitary transformation to this system. To avoid the complexity, the Taylor expansion of the effective potential is introduced into the problem and thereby a solution is found for the eigenvalues of the corresponding three-body Schrödinger equation in terms of the Wigner parameter.
7
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Approximate Solutions of Schrödinger Equation under Manning-Rosen Potential in Arbitrary Dimension via SUSYQM

88%
Hassanabadi H., Lu L., Zarrinkamar S., Liu G., Rahimov H.
Acta Physica Polonica A
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2012
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vol. 122
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issue 4
650-654
EN
The Schrödinger equation under the Manning-Rosen potential is solved in arbitrary dimension via the quantum mechanical idea of supersymmetry. The Pekeris approximation is used to overcome the inconsistency of the potential with the centrifugal term. Comments on the energy eigenvalue behavior versus dimension are included. The inter-dimensional degeneracy for various orbital quantum number l and dimensions D are studied. The expectation values of some physical parameters are reported via the Feynman-Hellmann theorem.
8
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Dirac-Deng-Fan Problem with Coulomb-Hulthen Tensor Interactions

88%
Ikot A., Hassanabadi H., Yazarloo B., Umo M., Zarrinkamar S.
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vol. 126
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issue 3
656-662
EN
The relativistic symmetries of the Dirac equation within the framework of spin and pseudospin symmetries is investigated for Deng-Fan potential including the Coulomb-like and Hulthen-type potential tensor interaction terms. The energy eigenvalues and the corresponding wave function are obtained using the parametric generalization of Nikiforov-Uvarov method. We have also reported some numerical results and figures to show the effect of the tensor interactions.
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