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Q-Deformed Morse and Oscillator Potential
Hassanabadi, H.,Chung, W. S.,Zare, S.,Bhardwaj, S. B. Hindawi Limited 2017 Advances in high energy physics Vol.2017 No.-
<P>We studied the q-deformed Morse and harmonic oscillator systems with appropriate canonical commutation algebra. The analytic solutions for eigenfunctions and energy eigenvalues are worked out using time-independent Schrödinger equation and it is also noted that these wave functions are sensitive to variation in the parameters involved.</P>
Relativistic Symmetries in the Dirac Equation for an Eight-parameter Exponential-type Potential
H. P. OBONG,Akpan Ndem IKOT,I. O. OWATE,Hassan HASSANABADI 한국물리학회 2016 새물리 Vol.66 No.2
Applying the Pekeris approximation to the centrifugal term, we investigated the spin and pseudospin symmetric solutions of the Dirac equation for $an$ eight-parameter exponential-type potential with a Coulomb-like tensor interaction. The energy eigenvalue equation and the corresponding eigenfunction are obtained using the Nikiforov-Uvarov (NU) method. The effects of the Coulomb tensor interaction are investigated numerically.
M. Ghafourian,H. Hassanabadi 한국물리학회 2016 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.68 No.11
The Shannon information entropies for the Klein-Gordon equations are evaluated for the Poschl- Teller potential, and the position-space information entropies for the ground and the excited states are calculated.
Sargolzaeipor, S.,Hassanabadi, H.,Chung, W. S. World Scientific Publishing Co. Pte. Ltd 2018 Modern Physics Letters A Vol.33 No.10
<P>The Klein-Gordon equation is extended in the presence of an Aharonov-Bohm magnetic field for the Cornell potential and the corresponding wave functions as well as the spectra are obtained. After introducing the superstatistics in the statistical mechanics, we first derived the effective Boltzmann factor in the deformed formalism with modified Dirac delta distribution. We then use the concepts of the superstatistics to calculate the thermodynamics properties of the system. The well-known results are recovered by the vanishing of deformation parameter and some graphs are plotted for the clarity of our results.</P>
Dirac Equation for the Generalized Deng-Fan Potential with Coulomb and Yukawa Tensor Interactions
A. N. Ikot,H. Hassanabadi,B. H. Yazarloo,S. Zarrinkamar 한국물리학회 2013 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.63 No.8
In this paper, we investigate the bound-state solutions of the Dirac equation with the generalizedDeng-Fan potential within the framework of spin and pseudospin symmetries and with Coulomblikeand Yukawa-like tensor interactions by using a supersymmetric quantum-mechanics (SUSYQM)formulation. We obtain the energy eigenvalue equations and the corresponding upper and lowerspinor wave functions for both the spin and the pseudospin cases. We also report some numericalresults and figures to show the effect of the tensor interaction.
f-Deformed Boson Algebra Related to Gentile Statistics
Chung, W. S.,Hassanabadi, H. Springer Science + Business Media 2017 International journal of theoretical physics Vol.56 No.6
<P>In this paper the deformed boson algebra giving the Gentile distribution function is constructed by using the model of ideal gas of deformed bosons and some properties of a root of unity. As an example we discuss the quantum optical problem related to the Gentile (or f-deformed) boson algebra with large but finite M. For this algebra we construct the Gentile (or f-deformed) coherent state and discuss its nonclassical properties such as sub-Poissonian statistics and anti-bunching effect.</P>
On the Conformable Fractional Quantum Mechanics
F. S. Mozaffari,H. Hassanabadi,H. Sobhani,W. S. Chung 한국물리학회 2018 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.72 No.9
In this paper, a conformable fractional quantum mechanic has been introduced using three postulates. Then in such a formalism, Schrodinger equation, probability density, probability ux and continuity equation have been derived. As an application of considered formalism, a fractional-radial harmonic oscillator has been considered. After obtaining its wave function and energy spectrum, effects of the conformable fractional parameter on some quantities have been investigated and plotted for different excited states.
Dynamics of a Particle in a Viscoelastic Medium with Conformable Derivative
Chung, W. S.,Hassanabadi, H. Springer Science + Business Media 2017 International journal of theoretical physics Vol.56 No.3
<P>In this paper we use the conformable derivative to study the dynamics of a particle in a viscoelastic medium. We discuss two examples. One is the resisted horizontal motion of a particle in a viscoelastic medium and another is the resisted horizontal motion of a particle in a viscoelastic medium with a uniform force F (0).</P>
Investigation of the Dirac Equation by Using the Conformable Fractional Derivative
F. S. Mozaffari,H. Hassanabadi,H. Sobhani,W. S. Chung 한국물리학회 2018 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.72 No.9
In this paper,the Dirac equation is constructed using the conformable fractional derivative so that in its limit for the fractional parameter, the normal version is recovered. Then, the Cornell potential is considered as the interaction of the system. In this case, the wave function and the energy eigenvalue equation are derived with the aim of the bi-con uent Heun functions. use of the conformable fractional derivative is proven to lead to a branching treatment for the energy of the system. Such a treatment is obvious for small values of the fractional parameter, and a united value as the fractional parameter approaches unity.
Classical mechanics in the de Sitter space
Chung, W. S.,Hassanabadi, H. 한국물리학회 2017 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol. No.
<P>In this paper we consider the deformed mechanics in de Sitter space. First we discuss one dimensional mechanics in de Sitter space. We also discuss the mechanics in D-dimensional de Sitter space. As an example we discuss the deformed Kepler orbit.</P>