Showing papers by "Hassan Hassanabadi published in 2016"
TL;DR: In this paper, the authors used the Nikiforov-Uvarov method to obtain the approximate solutions for the Klein-Gordon equation with the deformed five-parameter exponential-type potential (DFPEP) model.
Abstract: In this paper we use the Nikiforov-Uvarov method to obtain the approximate solutions for the Klein-Gordon equation with the deformed five-parameter exponential-type potential (DFPEP) model. We also obtain solutions for the Schrodinger equation in the presence of DFPEP in non-relativistic limits. In addition, we calculate in the non-relativistic limits thermodynamics properties, such as vibrational mean energy U, free energy F and the specific heat capacity C. Special cases of the potential are also discussed.
70 citations
TL;DR: In this article, the covariant form of the non-relativistic Schrodinger-Pauli equation in the space-time generated by a cosmic string was studied and the solutions of this equation were discussed in the presence of interaction between the magnetic dipole momentum and electromagnetic field.
Abstract: In this paper, we study the covariant form of the non-relativistic Schrodinger–Pauli equation in the space-time generated by a cosmic string and discuss the solutions of this equation in the presence of interaction between the magnetic dipole momentum and electromagnetic field. We study the influence of the topology on this system. We obtain the solution of radial part as well as the energy levels. We consider all thermodynamic properties of a neutral particle in a magnetic cosmic string background by using an approach based on the partition function method.
62 citations
TL;DR: In this article, the authors studied the covariant Duffin-kemmer-petiau (DKP) equation in the cosmic string space-time and considered the interaction of a DKP field with the gravitational field produced by topological defects in order to examine the influence of topology on this system.
Abstract: In this paper, we study the covariant Duffin-Kemmer-Petiau (DKP) equation in the cosmic-string space-time and consider the interaction of a DKP field with the gravitational field produced by topological defects in order to examine the influence of topology on this system. We solve the spin-zero DKP oscillator in the presence of the Cornell interaction with a rotating coordinate system in an exact analytical manner for nodeless and one-node states by proposing a proper ansatz solution.
57 citations
TL;DR: In this article, the covariant form of the non-relativistic Schrodinger-Pauli equation in the space-time generated by a cosmic string and the solutions of this equation in present of interaction between the magnetic dipole momentum and electromagnetic field are discussed.
Abstract: In this paper, we study the covariant form of the non-relativistic Schrodinger-Pauli equation in the space-time generated by a cosmic string and discuss the solutions of this equation in present of interaction between the magnetic dipole momentum and electromagnetic field. We study the influence of the topology on this system. We obtain the solution of radial part as well as the energy levels. We consider all thermodynamic properties of neutral particle in magnetic cosmic string background by using an approach based on the partition function method.
46 citations
TL;DR: In this article, the optical properties of spherical quantum dots confined in Hulthen potential with the appropriate centrifugal term included were studied and the approximate solution of the bound state and wave functions were obtained from the Schrodinger wave equation by applying the factorization method.
Abstract: In this work, we studied the optical properties of spherical quantum dots confined in Hulthen potential with the appropriate centrifugal term included. The approximate solution of the bound state and wave functions were obtained from the Schrodinger wave equation by applying the factorization method. Also, we have used the density matrix formalism to investigate the linear and third-order nonlinear absorption coefficient and refractive index changes.
45 citations
TL;DR: In this article, the Shannon information entropy is investigated within the nonrelativistic framework and the Kratzer potential is considered as the interaction and the problem is solved in a quasi-exact analytical manner to discuss the ground and first excited states.
Abstract: The Shannon information entropy is investigated within the nonrelativistic framework. The Kratzer potential is considered as the interaction and the problem is solved in a quasi-exact analytical manner to discuss the ground and first excited states. Some interesting features of the information entropy densities as well as the probability densities are demonstrated. The Bialynicki–Birula–Mycielski inequality is also tested and found to hold for these cases.
44 citations
TL;DR: In this article, the Dirac equation with vector and scalar potentials in the spacetime generated by a cosmic string was studied and a solution for the radial differential equation was obtained using an approximation for the centrifugal term.
Abstract: In this work we study the Dirac equation with vector and scalar potentials in the spacetime generated by a cosmic string. Using an approximation for the centrifugal term, a solution for the radial differential equation is obtained. We consider the scattering states under the Hulthen potential and obtain the phase shifts. From the poles of the scattering $S$-matrix the states energies are determined as well.
31 citations
TL;DR: In this article, the bound and scattering state of the Klein-Gordon equation with deformed Hulthen plus deformed hyperbolical potential for arbitrary state in D-dimensions were studied.
Abstract: In this article we use supersymmetry quantum mechanics and factorization methods to study the bound and scattering state of Klein–Gordon equation with deformed Hulthen plus deformed hyperbolical potential for arbitrary state in D-dimensions. The analytic relativistic bound state eigenvalues and the scattering phase factor are found in closed form. We report on the numerical results for the bound state energy in D-dimensions.
27 citations
TL;DR: In this article, the Bohr Hamiltonian has been solved using the Eckart potential for the $ β€/$ β€ -part of the Hamiltonian and a harmonic oscillator for the β€€ β€$€€ ε -part using the Nikiforov-Uvarov method.
Abstract: In this paper, the Bohr Hamiltonian has been solved using the Eckart potential for the $ \beta$
-part and a harmonic oscillator for the $ \gamma$
-part of the Hamiltonian. The approximate separation of the variables has been possible by choosing the convenient form for the potential $ V(\beta,\gamma)$
. Using the Nikiforov-Uvarov method the eigenvalues and eigenfunctions of the eigenequation for the $ \beta$
-part have been derived. An expression for the total energy of the levels has been represented.
24 citations
TL;DR: In this article, an improved ring shaped like potential of the form, V(r, θ) + (ħ2/2Mr2) = (β sin 2 θ + γ cos2 θ+ λ) / sin θ cos θ]2 and its exact solutions are presented via the Nikiforov-Uvarov method.
Abstract: We propose improved ring shaped like potential of the form, V(r, θ) = V(r) + (ħ2/2Mr2)[(β sin2 θ + γ cos2 θ + λ) / sin θ cos θ]2 and its exact solutions are presented via the Nikiforov–Uvarov method. The angle dependent part V(θ) = (ħ2 / 2 Mr2)[(β sin2 θ + γ cos2 θ + λ) / sin θ cos θ]2, which is reported for the first time embodied the novel angle dependent (NAD) potential and harmonic novel angle dependent potential (HNAD) as special cases. We discuss in detail the effects of the improved ring shaped like potential on the radial parts of the spherical harmonic and Coulomb potentials.
24 citations
TL;DR: In this article, a variational method was used to calculate mesonic wave function and masses and decay constants for heavy-light mesons, and the obtained results were compared with the available experimental and theoretical data.
Abstract: Using the variational method we calculate mesonic wave function. We report masses and decay constants for heavy-light mesons. Leptonic decay widths of charmed and beauty mesons are also calculated. The obtained results are compared with the available experimental and theoretical data.
TL;DR: In this paper, the Shannon entropy of a nonrelativistic quantum system with the Killingbeck potential was investigated with Coulomb, linear, and harmonic terms, and the position and momentum information was analyzed.
Abstract: The Shannon entropy of a nonrelativistic quantum system is investigated with the Killingbeck potential, which includes Coulomb, linear, and harmonic terms. The position and momentum information ent...
TL;DR: The Shannon information entropies for the Klein-Gordon equations are evaluated for the Poschl-Teller potential, and the position-space information entropy values for the ground and the excited states are calculated.
Abstract: 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.
TL;DR: In this article, the Schrodinger equation is considered within position-dependent mass formalism with a quasi-oscillator interaction term and wave functions and energy spectra have been obtained analytically.
Abstract: Schrodinger equation is considered within position-dependent mass formalism with a quasi-oscillator interaction term. Wave functions and energy spectra have been obtained analytically. Thermodynamic properties, information entropy, and uncertainty in coordinate and momentum spaces are calculated. To provide a better physical insight into the solutions, some figures are included.
TL;DR: In this article, the collective effects of atomic nuclei in presence of a time-dependent potential in Davydov-Chaban Hamiltonian were investigated, and an appropriate dynamical invariant has been constructed after determining the wave functions and values, the wave function will obtain.
TL;DR: In this article, the Bohr Hamiltonian with the time-dependent potential was studied using the Lewis-Riesenfeld dynamical invariant method and the exact wave functions of such a system have been derived.
Abstract: In this paper, Bohr Hamiltonian has been studied with the time-dependent potential. Using the Lewis–Riesenfeld dynamical invariant method appropriate dynamical invariant for this Hamiltonian has been constructed and the exact time-dependent wave functions of such a system have been derived due to this dynamical invariant.
TL;DR: In this article, the authors considered the Bohr Hamiltonian and solved the beta and gamma part equation of it, by considering that reduced potential and wave function are exactly separable, and derived the wave function and energy spectrum of it.
TL;DR: In this article, a scattering and bound states solution for the one-dimensional Klein-Gordon particle with Hylleraas potential is presented within the frame work of position dependent effective mass formalism.
Abstract: Scattering and bound states solution for the one-dimensional Klein–Gordon particle with Hylleraas potential is presented within the frame work of position dependent effective mass formalism. We calculate in detail the reflection and transmission coefficients using the properties of hypergeometric functions and the equation of continuity of the wave functions.
TL;DR: Recently, multi-parameter potential has been introduced and had been discussed as special cases of other potential model, that is why we are interested to the study of such a potential.
Abstract: Recently, multi-parameter potential has been introduced and had been discussed as special cases of other potential model, that is why we are interested to the study of such a potential. In order to study this potential, the D-dimensional Schrodinger has been presented in detail and the scattering state with any arbitrary J-state due to this potential has been investigated approximately. After this step, we have discussed analytically the scattering and bound state for some special cases in D-dimensional situations which play important roles in physics. © 2015 Wiley Periodicals, Inc.
TL;DR: In this paper, the effect of the position-dependent mass on the reflection and transmission coefficients of the system was investigated and the results were reported in terms of the Whittaker functions.
Abstract: We solved the one-dimensional position-dependent mass Dirac equation in the presence of the cusp potential and reported the solutions in terms of the Whittaker functions. We have derived the reflection and transmission coefficients by making use of the matching conditions on the wave functions. The effect of the position-dependent mass on the reflection and transmission coefficients of the system is duly investigated.
TL;DR: In this paper, the effect of the minimal length on the thermal properties of a Dirac oscillator is considered and the canonical partition function is well determined by using the method based on the Epstein Zeta function.
Abstract: The effect of the minimal length on the thermal properties of a Dirac oscillator is considered. The canonical partition function is well determined by using the method based on the Epstein Zeta function. Through this function, all thermodynamics properties, such as the free energy, the total energy, the entropy, and the specific heat, have been determined. Moreover, this study leads to a minimal length in the interval 10 16 �0 = 1 m2 c2. We show that this condition is obtained directly through the properties � = ~
TL;DR: In this paper, the Schrodinger equation and its solutions are still a challenging subject in physics, and numerical and analytical techniques depending on the structure of the equation are used to solve the problem.
Abstract: The Schrodinger equation and its solutions are still a challenging subject in physics. Just as many other areas of science, where we have to solve a differential equation to obtain the required information, we have to first solve the building block of nonrelativistic quantum mechanics. In doing so, we have to use numerical and analytical techniques depending on the structure of the equation. In particular, the analytical approaches are attractive as they provide a deeper and more touchable insight into the physics of the problem [1–6]. Cooper et al. reviewed the theoretical formulation of supersymmetry quantum mechanics and discussed its applications in dealing with both relativistic and nonrelativistic equations of quantum mechanics [7]. Ciftci et al. used the asymptotic iteration method for finding solutions of the Schrodinger equation [8]. Slater considered a simplification of the Hartree–Fock method to analyze the related problems [9]. Stevenson applied the optimized perturbation theory to the field [10]. Dong et al. proposed the quasi-exact solutions of the Schrodinger equation via the ansatz technique which is a quasi-exact approach [11]. Another frequently used tool is the Nikiforov–Uvarov (NU) technique which transforms classes of equations of mathematical physics into hypergeometric form. A reason of recent renewed interests in the wave equations of quantum mechanics is the implications of fundamental theories such as string theory. To be more precise, the noncommutative (NC) formulations of quantum mechanics and the proposition of the so-called minimal length, has motivated many recent studies on the quantum equations. The NC formulation, which is the focus of the present work, originates from fundamental theories
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TL;DR: In this article, q-deformed form of Dirac equation in relativistic quantum mechanics is derived and three important scat erring problem in physics are studied, and effects of all parameters in the problems on the reflection and transmission coefficients are calculated and shown graphically.
Abstract: In this article, after introducing a kind of q-deformation in quantum mechanics, first, q-deformed form of Dirac equation in relativistic quantum mechanics is derived. Then three important scat erring problem in physics are studied. All results have satisfied what we had expected before. Furthermore, effects of all parameters in the problems on the reflection and transmission coefficients are calculated and shown graphically.
TL;DR: In this article, the behavior of quantum particles in the cosmic string space was investigated in the presence of Poschl-Teller double-ring-shaped Coulomb and double ring-shaped oscillator potentials.
Abstract: We investigate the behavior of quantum particles in the cosmic string space–time in the presence of Poschl–Teller double-ring-shaped Coulomb and double-ring-shaped oscillator potentials. We obtain ...
TL;DR: In this article, the Davydov-Chaban approach to study collective motion of atomic nuclei has been mentioned in detail, and the wave function of such a system is obtained by taking an ansatz method.
Abstract: In this paper, Davydov–Chaban approach to study collective motion of atomic nuclei has been mentioned in detail. First by considering a shifted Killingbeck potential, we obtain the wave function of such system by taking an ansatz method. Then we consider a special case of shifted Killingbeck potential to recover known results.
TL;DR: In this paper, the authors presented the solution of Dirac equation with an attractive potential in the presence of a Yukawa-like tensor interaction and obtained the bound-state energy spectra and the radial wave functions in the case of spin and pseudospin symmetries.
TL;DR: In this paper, a Bohr Hamiltonian with a potential including a displaced harmonic oscillator plus a Coulomb-like term and a centrifuge term for the β-part and a harmonic oscillators centered around the γ-part, which can be approximately separated, has been solved.
Abstract: A Bohr Hamiltonian, with a potential including a displaced harmonic oscillator plus a Coulomb-like term and a centrifuge term for the \( \beta\)-part and a harmonic oscillator centered around \( \gamma= \frac{\pi}{6}\) for the \( \gamma\)-part, which can be approximately separated, has been solved for the \( \beta\)-part and \( \gamma\)-part. The part related to the collective \( \gamma\)-variable has been chosen in such a way that the model describes the triaxial nuclei. The eigenfunctions and eigenvalues of the energy have been obtained. An analytical expression for the total energy spectra is given.
TL;DR: In this paper, the two-dimensional Dirac equation for a fermion moving under Kratzer potential in the presence of an external magnetic field is analytically solved for the energy eigenvalues and eigenfunctions.
Abstract: The two-dimensional Dirac equation for a fermion moving under Kratzer potential in the presence of an external magnetic field is analytically being solved for the energy eigenvalues and eigenfunctions. Subsequently, we have obtained the Wigner function corresponding to the eigenfunctions.
TL;DR: In this paper, the energy eigenvalues and eigenstates of the Bohr Hamiltonian for γ-rigid prolate nuclei with the Coulomb-like potential in minimal length formalism were determined.
Abstract: We determine the energy eigenvalues and eigenstates of the Bohr Hamiltonian for γ-rigid prolate nuclei with the Coulomb-like potential in minimal length formalism. We first show corresponding Hamiltonian of γ-rigid prolate nuclei then investigate the effects of minimal length parameter in energy levels and obtain the transition rates. Ordinary results are recovered for the vanishing minimal length parameter and for the clarity of our results, some instructive graphs have been prepared.
TL;DR: In this article, the authors analyzed the decay widths and branching ratios of heavy baryon decays within the Isgur-Wise formalism with a potential combination of Hulthen and linear terms.
Abstract: Decay widths and branching ratios of $\Xi$
and $\Lambda$
heavy baryon decays are analyzed within the Isgur-Wise formalism with a potential combination containing Hulthen and linear terms. The problem is considered in the hyperspherical approach and the corresponding results are motivating.