Showing papers by "Hassan Hassanabadi published in 2013"
TL;DR: In this article, a relativistic spin subject to a Dirac oscillator coupling and a constant magnetic field in both commutative and non-commutative spaces is studied.
Abstract: In the language of creation and annihilation operators, we study a relativistic spin-
$$\tfrac{1}
{2}$$
fermion subject to a Dirac oscillator (DO) coupling and a constant magnetic field in both commutative and non-commutative (NC) spaces All dynamical physical variables, in a two-dimensional complex formalism, are expressed in terms of the creation and annihilation operators via a
z
, $$\bar a_z$$
and a
z
, $$\bar a_z$$
in the commutative space, and d
z
, $$\bar d_z$$
and d
z
, $$\bar d_z$$
in the NC space The eigensolutions of our problem have been determinated, and the exact connection with both Jaynes-Cummings (JC) and anti-Jaynes-Cummings (AJC) models has been established In addition, we revealed the existence of the quantum phase transition in both commutative and NC spaces The thermal properties of the Dirac oscillator under a magnetic field, calculated from the partition function, have been investigated, and the effect of the non-commutative parameters on these properties has been tested
86 citations
TL;DR: Using the Nikiforov?Uvarov (NU) method, pseudospin and spin symmetric solutions of the Dirac equation for the scalar and vector Hulth?n potentials with the Yukawa-type tensor potential are obtained for an arbitrary spin?orbit coupling quantum number as mentioned in this paper.
Abstract: Using the Nikiforov?Uvarov (NU) method, pseudospin and spin symmetric solutions of the Dirac equation for the scalar and vector Hulth?n potentials with the Yukawa-type tensor potential are obtained for an arbitrary spin?orbit coupling quantum number ?. We deduce the energy eigenvalue equations and corresponding upper- and lower-spinor wave functions in both the pseudospin and spin symmetry cases. Numerical results of the energy eigenvalue equations and the upper- and lower-spinor wave functions are presented to show the effects of the external potential and particle mass parameters as well as pseudospin and spin symmetric constants on the bound-state energies and wave functions in the absence and presence of the tensor interaction.
46 citations
TL;DR: It is inquired into spin and pseudospin symmetries of Dirac equation under modified deformed Hylleraas and modified Eckart potential via a Pekeris approximation and the Nikiforov-Uvarov technique.
39 citations
TL;DR: In this article, the authors have solved approximately Klein-Gordon equation with equal scalar and vector Mobius square plus Yukawa potentials in D-dimensions using the parametric form of Nikiforov-Uvarov method.
Abstract: We have solved approximately Klein–Gordon equation with equal scalar and vector Mobius square plus Yukawa potentials in D-dimensions using the parametric form of Nikiforov–Uvarov method. Energy eigenvalues and corresponding wave functions in terms of Jacobi polynomials are obtained. We have also discussed some special cases of our potential.
37 citations
TL;DR: In this article, the two-dimensional Dirac equation in the presence of vector and scalar Cornell potentials as well as an external magnetic field by a quasiexact methodology is investigated.
Abstract: The two-dimensional Dirac equation in the presence of vector and scalar Cornell potentials as well as an external magnetic field by a quasiexact methodology are investigated. The closed form of the eigenfunctions is reported and the energy behavior for different states is numerically discussed.
35 citations
TL;DR: In this article, the Dirac equation for the combined Mobius square and inversely quadratic Yukawa potentials including a Coulomb-like interaction term has been investigated in the presence of spin and pseudospin symmetries with arbitrary spin-orbit quantum number κ.
Abstract: The Dirac equation for the combined Mobius square and inversely quadratic Yukawa potentials including a Coulomb-like interaction term has been investigated in the presence of spin and pseudospin symmetries with arbitrary spin-orbit quantum number κ .We have obtained the explicit energy eigenvalues and the corresponding eigenfunctions by the framework of Nikiforov-Uvarov method.
29 citations
TL;DR: In this paper, bound and scattering state solutions of Klein-Gordon equation were obtained for equal scalar and vector Generalized Poschl-Teller potentials with angular momentum l. Energy eigenvalues, normalized wave functions and scattering phase shifts were calculated.
Abstract: Bound and scattering state solutions of Klein–Gordon equation are obtained for equal scalar and vector Generalized Poschl–Teller potentials with angular momentum l. Energy eigenvalues, normalized wave functions and scattering phase shifts are calculated.
26 citations
TL;DR: In this article, the D-dimensional Klein-Gordon equation for the modified Hylleraas potential with position dependent mass was studied and the energy eigenvalues and corresponding eigenfunctions for any arbitrary l-state using the parametric Nikiforov-Uvarov method were obtained.
Abstract: We study the D-dimensional Klein-Gordon equation for the modified Hylleraas potential with position dependent mass. We obtain the energy eigenvalues and the corresponding eigenfunctions for any arbitrary l-state using the parametric Nikiforov-Uvarov method. New elegant approximation method is used to deal with the centrifugal term. We also discuss the two limiting cases of this potential, i.e. the Woods-Saxon and Rosen-Morse potentials.
21 citations
TL;DR: In this article, the approximately analytical scattering state solution of the Schrodinger equation was obtained for the Deng-Fan potential by using an approximation scheme to the centrifugal term, and energy eigenvalues, normalized wave functions, and scattering phase shifts were calculated.
Abstract: The approximately analytical scattering state solution of the Schrodinger equation is obtained for the Deng-Fan potential by using an approximation scheme to the centrifugal term. Energy eigenvalues, normalized wave functions, and scattering phase shifts are calculated. We consider and verify two special cases: the and the -wave Hulthen potential.
19 citations
TL;DR: In this article, the authors apply an approximation to the centrifugal term and solve the two-body spinless-salpeter equation with the Yukawa potential via the supersymmetric quantum mechanics (SUSYQM) for arbitrary quantum numbers.
Abstract: We apply an approximation to the centrifugal term and solve the two-body spinless-Salpeter equation (SSE) with the Yukawa potential via the supersymmetric quantum mechanics (SUSYQM) for arbitrary quantum numbers. Useful figures and tables are also included.
18 citations
TL;DR: In this article, the Dirac equation under the assumption of a generalized uncertainty principle corresponds to a Schrodinger-like equation with a new effective potential, and the potential well and the step potential are studied in an exact analytical manner.
Abstract: We will show that the Dirac equation under the assumption of a generalized uncertainty principle corresponds to a Schrodinger-like equation with a new effective potential. Next, as typical examples, the potential well and the step potential are studied in an exact analytical manner. The scattering problems as well as the reflection and transmission parameters are reported.
TL;DR: In this article, the s-wave Schrodinger equation with Hua plus modified Eckart potential is investigated and the eigenfunctions as well as energy eigenvalues are obtained in an exact analytical manner and compared with results obtained from finite difference method.
Abstract: In this paper, s-wave Schrodinger equation with Hua plus modified Eckart potential is investigated. The eigenfunctions as well as energy eigenvalues are obtained in an exact analytical manner and compared with results obtained from finite difference method. Some special cases of this potential are also studied.
TL;DR: In this paper, the authors presented the approximate analytical solutions of the Dirac equation for hyperbolical potential within the frame work of spin and pseudospin symmetries limit including the newly proposed generalized tensor interaction (GTI) using the Nikiforov-Uvarov (NU) technique.
Abstract: In this paper, we present the approximate analytical solutions of the Dirac equation for hyperbolical potential within the frame work of spin and pseudospin symmetries limit including the newly proposed generalized tensor interaction (GTI) using the Nikiforov–Uvarov (NU) technique. We obtained the energy eigenvalues and the corresponding eigenfunction using the generalized parametric NU method. The numerical results of our work reveal that the presence of the GTI changes the degeneracy between the spin and pseudospin state doublets.
TL;DR: In this paper, the solution of the Klein-Gordon equation with equal scalar and vector generalized Tiez-Wei potentials is presented for arbitrary $$ l $$ -wave, and the energy bound states and unnormalized wave functions are obtained using the Nikiforov-Uvarov method.
Abstract: The solution of Klein–Gordon equation with equal scalar and vector generalized Tiez-Wei potentials is presented for arbitrary $$ l $$
-wave. The energy bound states and unnormalized wave functions are obtained using the Nikiforov–Uvarov method.
TL;DR: In this paper, the wave functions and the scattering phase shifts of the Duffin-Kemmer-Petiau equation were investigated for spin-0 (scalar) particles with the Hulthen potential for any J state by using an approximation for the centrifugal term.
Abstract: In this study, we have investigated the wave functions and the scattering phase shifts of the Duffin-Kemmer-Petiau equation for spin-0 (scalar) particles with the Hulthen potential for any J state by using an approximation for the centrifugal term. Special cases of the results are also studied.
TL;DR: In this paper, the Dirac equation for the Mobius square was presented for the Yukawa potentials including the tensor interaction term within the framework of pseudospin and spin symmetry limit with arbitrary spin-orbit quantum number, κ.
Abstract: In this paper, we present the Dirac equation for the Mobius square – Yukawa potentials including the tensor interaction term within the framework of pseudospin and spin symmetry limit with arbitrary spin–orbit quantum number, κ. We obtain the energy eigenvalues and the corresponding wave functions using the supersymmetry method. The limiting cases of the problem, which reduce to the Deng-Fan, Yukawa, and Coulomb potentials, are discussed.
TL;DR: In this article, the solutions of the Dirac equation with Modified Tietz and Modified Poschl-Teller scaler and vector potentials including the tensor interaction term for arbitrary spin-orbit quantum number κ are presented.
Abstract: The solutions of the Dirac equation with Modified Tietz and Modified Poschl-Teller scaler and vector potentials including the tensor interaction term for arbitrary spin-orbit quantum number κ are presented. We obtained the energy eigenvalues and the corresponding wave functions using the supersymmetry method. To show the accuracy of our results, we calculate the energy eigenvalues numerical for different values of n and κ. It is shown that these results are in good agreement with those found in the literature.
TL;DR: In this paper, the formation process of magnesium hydroxide unit cells, as well as the structural characteristics and growth morphology of the unit cells were discussed from the perspective of growth units.
Abstract: In this paper, the formation process of magnesium hydroxide unit cells, as well as the structural characteristics and growth morphology of magnesium hydroxide, is discussed from the perspective of growth units. The growth process of the hexagonal structure of the magnesium hydroxide is as follows: the growth units are first incorporated into a larger hexagonal dimension unit on the same plane, and then the hexagonal layers connect to each other in the z-axis direction for the hexagonal magnesium hydroxide unit cell. The results of the study show that the model of anion coordination polyhedron growth units may be reasonably deduced by using the unit cell structure and growth mechanism of magnesium hydroxide. After using Raman spectroscopy of the magnesium hydroxide growth solution Raman shift, the growth units of the magnesium hydroxide are shown to be octahedral: [Mg-(OH)6]4-.
TL;DR: In this paper, the soft core Coulomb potential was considered in a semi-relativistic two-body framework and a novel ansatz solution to the arising Schrodinger-like equation was proposed to obtain the ground state energy.
Abstract: We consider the soft-core Coulomb potential within a semi-relativistic two-body framework which arises from the spinless Salpeter equation after some approximations valid for heavy interacting particles. To provide an analytical solution, we propose a novel ansatz solution to the arising Schrodinger-like equation and thereby obtain the ground-state energy. Our results, for the special case of ordinary Coulomb potential, are in complete agreement with the corresponding exact analytical solution. The spectrum is numerically reported for typical values of the potential parameters.
TL;DR: In this article, the two-body Spinless Salpeter equation for the Woods-Saxon potential is solved by using the supersymmetry quantum mechanics (SUSYQM).
Abstract: The two-body Spinless Salpeter equation for the Woods-Saxon potential is solved by using the supersymmetry quantum mechanics (SUSYQM). In our calculations, we have applied an approximation to the centrifugal barrier. Energy eigenvalues and the corresponding eigenfunctions are computed for various values of quantum numbers n, l.
TL;DR: In this article, a general solution for exponential potentials without having to deal with the cumbersome and rather vague numerical procedure is making use of an exponential approximation to the inverse square centrifugal term.
Abstract: The knowledge on the scattering states and related parameters such as the phase shift, transmission and re ection coe cients is a primary step in many physical studies including the nuclear and particle physics in both non-relativistic and relativistic quantum mechanics. A very challenging step in such cases is the centrifugal term which does not allow for an exact analytical solution in most cases. During the past years, various techniques have been proposed and applied to deal with such problems [1 10] and a variety of interactions, including Hulthen [11], Poschl Teller [12] and Woods Saxon [13] potentials have been studied. To provide a general solution for exponential potentials without having to deal with the cumbersome and rather vague numerical procedure is making use of an exponential approximation to the inverse square centrifugal term. Here, we consider the scattering states of the two-body spinless-Salpeter equation (SSE) under the Hulthen potential and an exponential-type potential which possesses interesting physical nature. These potentials have been successfully applied to nuclear, particles, atomic, condensed matter, and chemical physics [14 16]. 2. Scattering states of the arbitrary l-wave spinless-Salpeter equation
TL;DR: In this paper, the relativistic Duffin-Kemmer-Petiau equation in the presence of Hulthen potential in (1+2) dimensions for spin-one particles is studied.
Abstract: The relativistic Duffin—Kemmer—Petiau equation in the presence of Hulthen potential in (1+2) dimensions for spin-one particles is studied. Hence, the asymptotic iteration method is used for obtaining energy eigenvalues and eigenfunctions.
TL;DR: In this paper, the relativistic Duffin-Kemmer-Petiau equation in the presence of a pseudoharmonic potential in a magnetic field in the (1+2)-dimensional space-time for spin-one particles is considered.
Abstract: We will consider the relativistic Duffin-Kemmer-Petiau equation in the presence of a pseudoharmonic potential in a magnetic field in the (1+2)-dimensional space-time for spin-one particles. To derive the energy eigenvalues and corresponding eigenfunctions, the analytical Nikiforov-Uvarov Method is used and some explanatory figures are included.
TL;DR: In this paper, the one-dimensional Dirac equation for vector and scalar asymmetric Hulthen potential is solved in terms of hypergeometric functions and the scattering states as well as exact expressions for the reflection and transmission coefficients are reported.
Abstract: The one-dimensional Dirac equation for vector and scalar asymmetric Hulthen potential is solved in terms of hypergeometric functions. The scattering states as well as the exact expressions for the reflection and transmission coefficients are reported.
TL;DR: In this paper, a simple approach based on the Gursey-Radicati mass formula (GR) was proposed to describe the baryon resonances spectrum in a non-relativistically quark model.
Abstract: In this paper, we studied the baryon resonances spectrum within a non-relativistically quark model using a simple approach based on the Gursey-Radicati mass formula (GR). The average energy value of each SU(6) multiplet is described using the SU(6) invariant interaction given by a hypercentral potential. In this paper the hypercentral potential is composed of four components: the oscillatory potential, color charge, the intraction quark and neutral gluon and the dipole-dipole electromagnetic interaction. The results of our model (the combination of our proposed hypercentral potential and the generalized GR mass formula to the description of the spectrum) show that the light and strange baryons spectrum are in general fairly well reproduced. The overall good description of the spectrum which we obtain shows that our model can also be used to give a fair description of the energies of the excited multiplets with more than 2GeV mass and negative-parity resonance.
TL;DR: In this article, the energy eigenvalues of the Dirac equation for generalized Yukawa types I and II under the framework of pseudospin and spin symmetry limits were obtained.
Abstract: We investigated the approximate solutions of the Dirac equation for the generalized Yukawa types I and II under the framework of pseudospin and spin symmetry limits. We obtained the energy eigenvalues and the corresponding wave functions using the supersymmetry method. Closed form of the energy eigenvalues are obtained for any spin-orbit coupling term κ. We also discuss the energy eigenvalues of the Dirac equation for some well-known potentials such as Yukawa, inversely quadratic Yukawa, new Yukawa, Mie-type and Coulomb potentials which are the special cases of the generalized Yukawa potentials.
TL;DR: In this paper, the bound-state solutions of the Dirac equation with the generalized Deng-Fan potential within the framework of spin and pseudospin symmetries and with Coulomblike and Yukawa-like tensor interactions were investigated by using a supersymmetric quantum-mechanics (SUSYQM) formulation.
Abstract: In this paper, we investigate the bound-state solutions of the Dirac equation with the generalized Deng-Fan potential within the framework of spin and pseudospin symmetries and with Coulomblike and Yukawa-like tensor interactions by using a supersymmetric quantum-mechanics (SUSYQM) formulation. We obtain the energy eigenvalue equations and the corresponding upper and lower spinor wave functions for both the spin and the pseudospin cases. We also report some numerical results and figures to show the effect of the tensor interaction.
TL;DR: In this paper, the relativistic Dirac equation under spin symmetry is investigated for generalized Morse potentials and the eigenvalues and the corresponding wave function are calculated using the Nikiforov-Uvarov method.
Abstract: The relativistic Dirac equation under spin symmetry is investigated for generalized Morse potential. We calculated the eigenvalues and the corresponding wave function by using the Nikiforov-Uvarov method. We also discussed two special cases: attractive radial and Deng-Fan potentials. We have also reported some numerical results and figures to show the effect of tensor interaction.
TL;DR: In this article, the D-dimensional Schrodinger equation under the hyperbolic potential V0(1 − coth(αr)) + V1(1− coth (α r))2 was considered and the approximate analytical solutions of the problem were obtained via the supersymmetric quantum mechanics.
Abstract: We consider the D-dimensional Schrodinger equation under the hyperbolic potential V0(1 − coth(αr)) + V1(1 − coth(αr))2. Using a Pekeris-type approximation, the approximate analytical solutions of the problem are obtained via the supersymmetric quantum mechanics. The behaviors of energy eigenvalues versus dimension are discussed for various quantum numbers. Useful expectation values as well as the oscillator strength are obtained.
TL;DR: In this article, S-wave solutions of the DKP equation in the presence of a hyperbolical potential in (1+3)-dimensional space-time for spin-one particles were studied.
Abstract: We study S-wave solutions of the Duffin-Kemmer-Petiau (DKP) equation in the presence of a hyperbolical potential in (1+3)-dimensional space-time for spin-one particles. The exact analytical Nikiforov-Uvarov (NU) method is used in the calculations to obtain the eigenfunctions and the corresponding eigenvalues. Some figures and numerical values are included to give a better insight to the solutions.