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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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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.
3
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Quantum Flatland and Monolayer Graphene from a Viewpoint of Geometric Algebra

80%
Dargys A.
Acta Physica Polonica A
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2013
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vol. 124
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issue 4
732-739
EN
Quantum mechanical properties of the graphene are, as a rule, treated within the Hilbert space formalism. However a different approach is possible using the geometric algebra, where quantum mechanics is done in a real space rather than in the abstract Hilbert space. In this article the geometric algebra is applied to a simple quantum system, a single valley of monolayer graphene, to show the advantages and drawbacks of geometric algebra over the Hilbert space approach. In particular, 3D and 2D Euclidean space algebras Cl_{3, 0} and Cl_{2, 0} are applied to analyze relativistic properties of the graphene. It is shown that only three-dimensional Cl_{3, 0} rather than two-dimensional Cl_{2, 0} algebra is compatible with a relativistic flatland.
4
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Relativistic Paschen-Back Effect for the Two-Dimensional H-Like Atoms

80%
Poszwa A., Rutkowski A.
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issue 3
439-444
EN
The classification of states based on good quantum numbers for the two-dimensional Coulomb problem is proposed. The first order magnetic energy corrections are calculated using exact field-free analytic solutions of the Dirac equation as a zero-order approximation.
5
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Solution of Spinless Salpeter Equation with Generalized Hulthén Potential Using SUSYQM

80%
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.
6
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Bound States for Pseudoharmonic Potential of the Dirac Equation with Spin and Pseudo-Spin Symmetry via Laplace Transform Approach

80%
Biswas B., Debnath S.
Acta Physica Polonica A
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2016
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vol. 130
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issue 3
692-696
EN
Bound state solutions of the Dirac equation for the pseudoharmonic potential with spin and pseudo-spin symmetry are studied in this paper. To obtain the exactly normalized bound state wave function and energy expressions we have used the Laplace transform approach.
7
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The Relativistic Transmission and Reflection Coefficients for Woods-Saxon Potential

80%
Yazarloo B., Mehraban H.
Acta Physica Polonica A
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2016
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vol. 129
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issue 6
1089-1092
EN
The relativistic problem of spin-1/2 particles subject to the Woods-Saxon potential is investigated by using the functional analysis method. We obtain scattering and bound state solutions of the one-dimensional Dirac equation with the Woods-Saxon potential in terms of the Jacobi polynomials. We also calculated the transmission and reflection coefficients by using behavior of the wave functions at infinity.
8
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Dirac-Deng-Fan Problem with Coulomb-Hulthen Tensor Interactions

80%
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.
9
Content available remote

Exact Solution of Klein-Gordon with the Pöschl-Teller Double-Ring-Shaped Coulomb Potential

80%
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.
10
Content available remote

Commutative vs. Noncommutative Space Statistical Properties of Two-Dimensional Harmonic Oscillator in Magnetic Field

80%
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.
11
Content available remote

Variational wave equations of two fermions interacting via scalar, pseudoscalar, vector, pseudovector and tensor fields

51%
Duviryak A., Darewych J.
Open Physics
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2005
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vol. 3
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issue 4
467-483
EN
We consider a method for deriving relativistic two-body wave equations for fermions in the coordinate representation. The Lagrangian of the theory is reformulated by eliminating the mediating fields by means of covariant Green's functions. Then, the nonlocal interaction terms in the Lagrangian are reduced to local expressions which take into account retardation effects approximately. We construct the Hamiltonian and two-fermion states of the quantized theory, employing an unconventional “empty” vacuum state, and derive relativistic two-fermion wave equations. These equations are a generalization of the Breit equation for systems with scalar, pseudoscalar, vector, pseudovector and tensor coupling.
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