H. Hassanabadi

Shahrood University of Technology · School of Physics

In this article, after introducing appropriate equation for non-relativistic spin half-integer system, Lagrange density of such system has been derived. Then time-evolution of this system in presence of a time-dependent interaction has been done

In this work, we studied the optical properties of spherical quantum dots confined in Hulthén potential with the appropriate centrifugal term included. The approximate solution of the bound state and wave functions were obtained from the Schrödinger wave equation by applying the factorization method. Also, we have used the density matrix formalism...

In this work, the ground state binding energy of Λ-particle in hypernuclei is investigated by using analytical solution of non-relativistic Schrödinger equation in the presence of a generalized Woods–Saxon-type interaction. The comparison with the experimental data is motivating.

We approximate the two-body spinless Salpeter equation with the one which is valid in heavy quarks limit. We consider the resulting semi-relativistic equation in a time-dependent formulation. We use the Lewis- Riesenfeld dynamical invariant method and series solution to obtain the solutions of the differential equation. We have also done some calcu...

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 eige...

To the best of our knowledge, for the first time, the quantum Hall effect (QHE) is considered in thermal non-equilibrium conditions (TNEC) via [Formula: see text]-algebra. The [Formula: see text]-algebra is a topological tool that provides a controlling [Formula: see text]-parameter to approximate theoretical results to the laboratory ones. We obta...

Based on the Standard Model Extension, we study the influences of Lorentz symmetry breaking effects on the interaction of a neutral spin-zero Duffin–Kemmer–Petiau particle. This particle is non-minimal coupled to a Cornell-type potential, which represents a generalized relativistic quantum oscillator model. This system is considered in the backgrou...

In this paper, three-dimensional Dunkl oscillator models are studied in a generalized form of superintegrable Euclidean Hamiltonian systems to curved ones. These models are defined based on curved Hamiltonians, which depend on a deformation parameter of underlying space and involve reflection operators. The corresponding symmetries are obtained by...

In this paper, the relativistic and non-relativistic behavior of charged Dirac fermions is investigated in the presence of a Kratzer-like potential under the influence of a broken Lorentz symmetry in space-time with the cosmic screw dislocation background. The effect of the Lorentz symmetry breaking is defined by a fixed vector field. We indicate t...

We present a generalised Lindblad equation (GLE) for position-dependent mass (PDM). Using the GLE, we obtain the probability density, Fisher information (FI), Von Neumann entropy and the quantum Fisher information (QFI) in two different generalised Jang and Dekker cases. The behaviours of the above measures are analysed with the position, time and...

In this paper, we investigate the influence of non-commutativity of both coordinates and momenta on the motion of a two-particle system in the presence of harmonic oscillator potential in plane. We obtain the equations of motion for the center of mass and the reduced mass and show that how they are dependent to the non-commutative parameters. We al...

Wigner-Dunkl quantum mechanics can be viewed as deformed quantum mechanics, where the commutator between canonical momentum and position operators contains in addition a reflection operator. In the present work we carry over the general concepts of supersymmetric (SUSY) quantum mechanics to the Wigner-Dunkle quantum formulation. We investigate the...

We consider the quantum Hall effect (QHE) in q-formalism and obtain its spectrum in thermal non-equilibrium conditions (TNEQ). Moreover, we calculate the electrical potential for QHE using the density probability current in TNEQ. We find that the geometric region q < 1 can explain the Landau energy gap on graphene-based materials for the room tempe...

We study a static composite structure formed by relativistic fermion–antifermion pair holding together through Cornell-type non-minimal coupling under the effect of an external magnetic field in the spiral dislocation spacetime by solving the corresponding form of a fully covariant two-body Dirac equation. This equation has been derived as an excit...

In this paper the κ-deformed translation symmetry is considered based on the κ-addition appearing in the κ-deformed statistical mechanics. The deformed quantum theory with κ-translation symmetry is constructed. The plane wave κ-translation symmetry is constructed. The Ramsauer-Townsend effect and one dimensional box problem in the deformed quantum...

We consider a qubit as a working medium in a deformed quantum Otto cycle using Tsallis statistics. To analyze the engine, we obtain the time evolution of the deformed density matrix in different steps of the cycle using the Lindblad equation. We calculate deformed work done, exchange heat, and cycle efficiency. We present a new and exact formula fo...

In this paper, by introducing the q-deformed delta function, the Dirac equation for a fermion in the presence of Dirac delta scalar and vector potential is developed. Then, considering the boundary condition and the effect of q-deformed Dirac delta potential, the scattering state is investigated. Further, the reflection and transmission coefficient...

In this paper, we present the quantum description that arose from the interaction of a moving magnetic quadrupole moment with electric field configurations in the background having a rotating frame of the presence of screw dislocation in the nonrelativistic regime. Interacting a moving particle involving a magnetic quadrupole moment with the chosen...

Based on the minimum measurable momentum concepts associated with the quantum gravity effects acting on the large-scale dynamics of the universe. We use the new extended uncertainty principle (EUP) to study the Hawking temperature and black hole evaporation. The results show the new EUP quantum correction may shorten the lifetime of the massive bla...

In this paper, we investigate the quantum correction on thermodynamics of the Reissner-Nordström black hole in the presence of the quintessence matter associated with dark energy. To this end, the modified Hawking temperature, heat capacity, and entropy functions of the black hole are derived. Investigation reveals that the modified uncertainty pri...

In this paper, we study the Dunkl oscillator model in a generalization of superintegrable Euclidean Hamiltonian systems to the two-dimensional curved ones with a m: n frequency ratio. This defined model of the two-dimensional curved systems depends on a curvature/deformation parameter of the underlying space involving reflection operators. The curv...

In this paper, we investigate the influence of the background of a cosmic string spacetime with a distortion of a radial line into a spiral on the interaction of the scalar field with a Cornell-type non-minimal coupling subject to a special static scalar potential. The special static scalar potential consists of radial oscillator harmonics potentia...

The Schrödinger equation under the application of a position-dependent mass (PDM) with an exponential form is presented. Several physical models are carried out by choosing different external potential fields including the free field or a confined hard-all potential, the linear potential plus an attractive centrifugal-like term and harmonic oscilla...

We study the non-relativistic particles of a two dimensional two-electron quantum dot. We consider the system in the presence of harmonic plus linear terms as well as a term related to spin interaction. The solution of the system is obtained by using of Quasi-Exactly-Solvable (QES) method. Next, we calculate the energy eigenstates and wave function...

We consider a relativistic spin 1/2 particle in the 1D-box potential in thermal non-equilibrium conditions. Using Tsallis statistics, we investigate the convexity and concavity of the deformed partition function and other thermodynamic properties of the system. We propose an upper bound to calculate the partition function integral that satisfies th...

We investigate the Klein–Gordon quantum oscillator in a global monopole space–time with three versions of rainbow gravity. We solve the related Klein–Gordon equation analytically and thus find the wave-functions and their corresponding energy eigenvalues. Our solutions allow us to assess the physical effect of the three rainbow functions on the glo...

Some properties of q-delta distribution is discussed. The q-deformed Gauss distribution corresponding to the q-delta function is constructed. The q-delta potential problem in the quantum mechanics is discussed.

In this paper, the generalized Klein-Gordon oscillator is studied in the framework of Lorentz symmetry violation, and the Nikiforov-Uvarov method is used to analyze the Klein-Gordon oscillator with and without magnetic field. On this basis, we analyze some special cases of Klein-Gordon oscillators with Cornell potential functions in detail. The res...

In this paper, we investigate the relativistic dynamics of a fermion–antifermion pair holding through Dirac oscillator interaction in the rotating frame of (2 + 1)-dimensional topological defect-generated geometric background. We obtain an exact energy spectrum for the system in question by solving the corresponding form of a fully covariant two bo...

This paper has studied the three-dimensional Dunkl oscillator models in a generalization of superintegrable Euclidean Hamiltonian systems to curved ones. These models are defined based on curved Hamiltonians, which depend on a deformation parameter of underlying space and involve reflection operators. Their symmetries are obtained by the Jordan-Sch...

In this paper, some possible Lagrangians for the quadratically damped systems are investigated. The corresponding classical Hamiltonians are investigated with Hamilton equations. The quantum Hamiltonians are also constructed so that they may be Hermitian. As an example, the quantum mechanics for the harmonic oscillator with a small quadratic dampin...

In this paper, after introducing a kind of [Formula: see text]-deformation in quantum mechanics, first [Formula: see text]-deformed form of Schrödinger equation for a single particle in a box is derived. Then, the energy eigenvalues and wave function in Schrödinger equation are studied. Also, we discuss the Carnot cycle by using of the energy eigen...

Relativistic quantum mechanics of free fermions in the presence of the spiral dislocation of space–time with a distortion of a radial line into a spiral is studied within the Katanaev–Volovich geometric approach. The generalized Dirac equation in this background is constructed. Exact closed-form solutions are found by reducing the problem to that o...

In this study, we survey the generalized Duffin–Kemmer–Petiau oscillator containing a non-minimal coupling interaction in the context of rainbow gravity in the presence of the cosmic topological defects in space-time. In this regard, we intend to investigate relativistic quantum dynamics of a spin-0 particle under the modification of the dispersion...

In this manuscript, the modification of thermodynamic properties of Schwarzschild and Reissner-Nordstr\"{o}m black holes in the presence of higher-order generalized uncertainty principle (GUP) have been investigated. We considered heuristic analysis versus the behavior of a particle that is absorbed by the black hole, and then, we studied the therm...

The authentication bugs of SIM cards in Global System for Mobile (GSM) have led us to write the new protocols for these networks using the principles of quantum cryptography. We provide two protocols for detecting and removing a copied SIM card. The first protocol uses the three-particle entangled source and the quantum channel when the original SI...

In this paper, we investigate the fractional version of the one-dimensional relativistic oscillators. We apply some important definitions and properties of a new kind of fractional formalism on the Dirac oscillator (DO). By using a semiclassical approximation, the energy eigenvalues have been determined for the oscillator. The obtained results show...

We investigate the decay properties of some beauty and charm mesons with a phenomenological potential model. First, we consider the nonrelativistic Hamiltonian of the mesonic system with Coulomb plus exponential terms and study the wave function and the energy of the system using the variational approach. Thereby, we compute the masses, the decay c...

We consider a relativistic vector boson oscillator in the 1 + 2 dimensional spacetime background induced by spinning cosmic string, which is a linear topological defect, and we analyze the effects of spin parameter (̟\varpi) and angular deficit parameter (α) of the background on the energy of the system. To acquire this, we solve the corresponding...

In this manuscript, the modification of thermodynamic properties of Schwarzschild and Reissner–Nordström black holes in the presence of higher-order generalized uncertainty principle (GUP) have been investigated. We considered heuristic analysis versus the behavior of a particle that is absorbed by the black hole, and then, we studied the thermodyn...

In this study, we survey the generalized Duffin-Kemmer-Petiau oscillator containing a non-minimal coupling interaction in the context of rainbow gravity in the presence of cosmic topological defects in space-time. In this regard, we intend to investigate relativistic quantum dynamics of a spin-0 particle under the modification of the dispersion rel...

A Correction to this paper has been published: 10.1140/epja/s10050-021-00514-8

In this paper, we present the differential master equation (or Liouville-Von Neumann equation) for a harmonic oscillator with position-dependent mass (PDM) exposed to a thermal bosonic bath. Also, we obtain the density matrix of the system after time evolution. Using the density matrix, we consider the Von-Neumann entropy and Fisher Information (FI...

In this paper, we study the relativistic scalar particle described by the Klein–Gordon equation that interacts with the uniform magnetic field in the context of the Som–Raychaudhuri space–time. Based on the property of the biconfluent Heun function equation, the corresponding Klein–Gordon oscillator and generalized Klein–Gordon oscillator under con...

We obtain analytical solutions of the generalized Klein–Gordon relativistic quantum oscillator for spin-zero bosons in the presence of a non-central potential under the influence of a point-like global monopole space-time. The non-central potential consists of r- and \(\theta \)-dependent potentials \(S(r, \theta )\), and our generalized oscillator...

This paper deals with Maxwell equations with Dunkl derivatives. Dunkl-deformed gauge transform is investigated. Dunkl-electrostatics in spherical coordinates is also studied. The multi-pole expansion of potential is obtained for even and odd potential for parity in z-direction. The conducting sphere in a uniform electric field in Dunkl-electrostati...

We consider a relativistic vector boson with Cornell type non-minimal coupling in the 2 + 1 dimensional spiral dislocation spacetime background and we determine the effects of spacetime background on the system in question. To acquire this, we solve the corresponding form of the vector boson equation and obtain solution function in terms of bi-conf...

In this study, we investigated the influence of the topological defects space-time with a spiral dislocation on a spin-zero boson field by using the Duffin-Kemmer-Petiau (DKP) equation. To be more specific, we solved the generalized spin-zero DKP equation in the presence of a spiral dislocation exactly. We derived the wave function and correspondin...

We investigate the modification of gravitational fields generated by topological defects on a generalized Duffin-Kemmer-Petiau (DKP) oscillator for spin-0 particle under spinning cosmic string background. The generalized DKP oscillator equation under spinning cosmic string background is established, and the impact of the Cornell potential on the ge...

In this study, we considered a moving particle with a magnetic quadrupole moment in an elastic medium in the presence of a screw dislocation. We assumed a radial electric field in a rotating frame that leads a uniform effective magnetic field perpendicular to the plane of motion. We solved the Schr\"odinger equation to derive wave and energy eigenv...

In this paper we introduce the deformed boson algebra where the even number states as well as the odd number states are deformed. Based on the set of observables associated with the quantum state, we assume that photon obeys this deformed algebra. We construct the coherent states and investigate the non-classical properties of the coherent states s...

In this paper we use the q-deformed binary operations to discuss q-derivative, q-integral, q-exponential function, q-Gamma function and q-logarithm and q-deformed complex number. We define the q-binary operation of q-matrix. Using these, we construct the q-boson algebra and suq(2) algebra based on the q-deformed binary operations.

We use the momentum operator with the Dunkl derivative in quantum mechanics and derive its Schrödinger equation in one dimension with a harmonic oscillator potential. With the energy eigenvalues of such systems, we calculate their principal thermodynamical properties, the Helmholtz free energy, mean energy and entropy, and discuss the effects of th...

In this paper we extend the ordinary parity into more general one which we call a Zp-graded parity. Using this we present Zp-graded Wigner algebra. We discuss the coherent states for Zp-graded Wigner algebra. Finally we discuss thermodynamics for Zp-boson.

In this paper, we investigate the modification of gravitational fields generated by topological defects on a generalized Duffin–Kemmer–Petiau (DKP) oscillator for spin-0 particle under spinning cosmic string background. The generalized DKP oscillator equation under spinning cosmic string background is established, and the impact of the Cornell pote...

In this study, we investigated the influence of the topological defects space–time with a spiral dislocation on a spin-zero boson field by using the Duffin–Kemmer–Petiau (DKP) equation. To be more specific, we solved the generalized spin-zero DKP equation in the presence of a spiral dislocation exactly. We derived the wave function and correspondin...

A new high-order generalized uncertainty principle is proposed in this paper, which can modify the coordinate operator and the momentum operator simultaneously. Afterwards, the Klein–Gordon equation with linear scalar and vector potential is investigated in the context of new principle and whose corresponding exact analytical solutions are further...

In this paper, we discuss an analytical description of a parity doublet structure for an odd-A nucleus. We use the controlled single particle (CSP) concept to present the analytical model. In a parity doublet structure, those bands consisting of states with opposite positive and negative parity appear. At first glance, it seems complex to present a...

In this paper, we present a fractional form of Schrödinger equation using the Kallil’s derivative method. Then we investigate the capability of this equation to obtain the wave functions and its energy levels for a particle trapped in infinite potential well (IPW) for the range1<α≤2. We also, present the fractional form of the Schrödinger equation...

In this manuscript we consider q-deformed boson algebra by using the Tsallis’s q-deformed exponential which arises in the non-extensive thermodynamics. Using this we construct q-deformed coherent states and even and odd q-deformed coherent states. We investigate non-classical properties of these q-deformed coherent states such as photon distributio...

In the well-known Nilsson diagrams, depicting the dependence of the nuclear single-particle energy levels on quadrupole deformation, a spin paradox appears {as the deformation sets in, leading from spherical shapes to prolate deformed shapes with cylindrical symmetry}. Bunches of levels corresponding to a spherical shell model orbital, sharing the...

In this contribution, we investigate the interaction between electric and magnetic fields with an electric quadrupole moment of a spinless particle moving in an elastic medium which has a topological defect (screw dislocation). By considering this interaction, the Schr\"odinger equation is exactly solved by using the analytical method. Thus, the ei...

In the well-known Nilsson diagrams, depicting the dependence of the nuclear single-particle energy levels on quadrupole deformation, a spin paradox appears {as the deformation sets in, leading from spherical shapes to prolate deformed shapes with cylindrical symmetry}. Bunches of levels corresponding to a spherical shell model orbital, sharing the...

The aims of the reported work are to provide new insights into the quantum dot optical properties confined in an inverse of a quadratic Hellmann potential. The Schrödinger equation is solved using the Nikiforov-Uvarov (NU) method, in order to obtain the analytical expressions of the eigenenergies and the eigenfunctions. The linear together with the...

Considering that curved space-time in coordinate or momentum representation should be curved, this paper proposes a new high-order generalized uncertainty principle by modifying the coordinate and momentum operator simultaneously, which could give a self-consistent phenomenological explanation for the existence of the minimum observable length. Mor...

In this paper, by studying the Einstein-Bohr’s photon box for weighting a photon, we find that the effective Newton constant can be proposed by the extended uncertainty principle and extended generalized uncertainty principle. We obtain the modified Hawking temperature, mass, specific heat, and entropy by using the modified Schwarzschild metric.

In this paper, by studying the Einstein-Bohr's photon box for weighting a photon, we find that the effective Newton constant can be proposed by the extended uncertainty principle and extended generalized uncertainty principle. We obtain the modified Hawking temperature, mass, specific heat, and entropy by using the modified Schwarzschild metric.

In this paper, a new generalization of Dunkl derivative with three parameters is proposed. With a help of the generalized Dunkl derivative, a new deformed Heisenberg algebra with reflection operator is proposed. The Hilbert space and inner product are well defined for the new deformed Heisenberg algebra, and some physical examples are discussed.

In this paper, we employ a new form of the extended uncertainty principle to investigate the thermal properties of the Schwarzschild and Reissner–Nordström. After we construct the formalism, we obtain the mass-temperature function for the Schwarzschild black hole. We follow a heuristic method to derive the entropy function after we obtained the hea...

In this paper we study the relativistic scalar particle described by the Klein-Gordon interacts with the uniform magnetic field in the context of the Som-Raychaudhuri space-time. Based on the property of the biconfluent Heun function equation, the corresponding Klein-Gordon oscillator and generalized Klein-Gordon oscillator under considering the Co...

The Schrödinger equation in noncommutative phase space is considered with a combination of linear, quadratic, Coulomb and inverse square terms. Using the quasi exact ansatz approach, we obtain the energy eigenvalues and the corresponding wave functions. In addition, we discuss the results for various values of in noncommutative phase space and disc...

In this paper, we introduce a new fractional derivative to define a new fractional velocity and a new fractional acceleration with the fractional space translation symmetry, which is given by fractional addition. We also construct the fractional version for Newton mechanics with fractional space translation symmetry in one dimension. We show the co...

In this paper we compare three types of superstatistics by computing superstatistical internal energies for continuous energy and quantum discrete energies and discuss spin 12 paramagnet model based on psuperstatistics. We demonstrate for Spin 12 paramagnet that the magnetic moment per spin depends on the number of spins for finite variance in cont...

In this study, we considered a moving particle with a magnetic quadrupole moment in an elastic medium in the presence of a screw dislocation. We assumed a radial electric field in a rotating frame that leads a uniform effective magnetic field perpendicular to the plane of motion. We solved the Schrödinger equation to derive wave and energy eigenval...

The aims of the reported work are to provide new insights into the quantum dot optical properties confined in an inverse of a quadratic Hellmann potential. The Schrödinger equation is solved using the Nikiforov-Uvarov (NU) method, in order to obtain the analytical expressions of the eigenenergies and the eigenfunctions. The linear together with the...

In this manuscript we investigate the generalized Dirac oscillator in the simplest topological defect described by the cosmic string space-time under the effect of the external electromagnetic fields. The radial wave equation and energy eigenvalue of the Dirac oscillator considered as the Cornell potential function are derived via the Nikifornov-Uv...

The aims of the reported work are to provide new insights into the quantum dot optical properties confined in an inverse of a quadratic Hellmann potential. The Schr\"odinger equation is solved using the Nikiforov-Uvarov (NU) method, in order to obtain the analytical expressions of the eigenenergies and the eigenfunctions. The linear together with t...