H. Hassanabadi

• PhD
• Professor at University of Shahrood

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...

In this paper, we construct a deformed Schwarzschild black hole from the de Sitter gauge theory of gravity within Dunkl generalization and we determine the metric coefficients versus Dunkl parameter and parity operators. Since the spacetime coordinates are not affected by the group transformations, only fields are allowed to change under the action...

We determine the closed-form solution of a three-dimensional stationary Schrödinger equation for an angular-dependent potential in spherical coordinates within the Dunkl formalism. Furthermore, we calculate the change of the system’s total energy with respect to coupling constants in the potential by means of the Hellman–Feynman theorem.

By implementing the concept of polytropic structures as a scalar field gas with a dark energy-like behavior, we obtain a static spherically symmetric black hole solution in the framework of general relativity. In this paper, we study the quasinormal modes, the greybody bound process, the shadow behaviors, and the sparsity of black holes with a surr...

The recent generalization of the Dunkl operator, incorporating six parameters, offers a refined approach to bridging theoretical models and experimental observations. In this study, we apply the fully generalized Dunkl derivatives to solve two cornerstone quantum mechanical problems-the harmonic oscillator and the Coulomb potential-in the non-relat...

In various fields of mathematical research, the Brouwer degree is a potent tool for topological analysis. By using the Brouwer degree defined in one-dimensional space, we interpret the equation of state for temperature in black hole thermodynamics, $$T=T(V,x_i)$$ T = T ( V , x i ) , as a spinodal curve, with its derivative defining a new function f...

In this work, we explore a Schwarzschild-like black hole within the framework of metric-affine bumblebee gravity. First, we investigate the behavior of the Kretschmann scalar and singularities in this modified gravity approach. Next, we introduce a newly defined time coordinate related to a stationary asymptotically flat spacetime. We also analyze...

We investigate the temperature, photon and shadow radii, quasinormal modes (QNMs), greybody factors, and emission rates of deformed AdS black holes, focusing on the effects of the deformation parameter $ \alpha $ and control parameter $ \beta $. Increasing $ \alpha $ enhances the oscillation frequency and damping rate of gravitational waves, while...

The Event Horizon Telescope (EHT) imaging of the supermassive black holes at the centers of Messier 87 galaxy (M87) and the Milky Way galaxy (Sgr A) marks a significant step in observing the photon rings and central brightness depression that define the optical appearance of black holes with an accretion disk scenario. Inspired by this, we take int...

In this manuscript, we implement the generalized uncertainty principle (GUP) with linear and quadratic moment for Schwarzschild black hole metric in order to study the influence of quantum effect on the thermodynamics and evaporation of black hole. To this end, we first derive the GUP-modified Hawking temperature of a black hole in the semi-classic...

This paper explores the relativistic behavior of spin-half particles possessing an Electric Dipole Moment (EDM) in a curved space–time background induced by a spiral dislocation. A thorough review of the mathematical formulation of the Dirac spinor in the framework of quantum field theory sets the foundation for our investigation. By deriving the a...

This study examines the properties of a special regular black hole. This analysis investigates the Hawking temperature, remnant radius and mass, as well as the effect of parameter $\xi$ on thermodynamic quantities like entropy, heat capacity, and free energy. The emission rate, evaporation process, quasi-normal modes by calculating Rosen-Morse pote...

In this study, we explore a spherically symmetric charged black hole with a cosmological constant under the influence of a Kalb--Ramond field background. We compute the photon sphere and shadow radii, validating our findings using observational data from the Event Horizon Telescope (EHT), with a particular emphasis on the shadow images of Sagittari...

In this study, we comprehensively investigated charged AdS black holes surrounded by a distinct form of dark matter. In particular, we focused on key elements including the Hawking temperature, quasi-normal modes (QNMs), emission rate, and shadow. We first calculated the Hawking temperature, thereby identifying critical values such as the critical...

Having in mind the significance of parity (reflection) in various areas of physics, the single-mode and two-mode Wigner algebras are considered adding to them a reflection operator. The associated deformed $su(2)$ algebra, $su_{\nu}(2)$, and the deformed $so(3)$ algebra, $so_{\nu}(3)$, are constructed for the widely used Jordan-Schwinger and Holste...

In this work, we study a static, spherically charged AdS black hole within a modified cosmological Chaplygin gas (MCG), adhering to the calorific equation of state, as a unified dark fluid model of dark energy and dark matter. We explore the influence of model parameters on several characteristics of the MCG-motivated charged AdS black hole (MCGMBH...

In this work, we investigate a spherically symmetric charged black hole in the presence of a Kalb--Ramond field background. We calculate the photon sphere and shadow radii and, corroborating our results, we constrain them from observational data from the Event Horizon Telescope (EHT), particularly focusing on the shadow images of Sagittarius $A^{*}...

In this work, we explore a Schwarzschild-like black hole within the framework of metric--affine bumblebee gravity. First, we investigate the behavior of the Kretschmann scalar and singularities in this modified gravity approach. Next, we introduce a newly defined time coordinate related to a stationary asymptotically flat spacetime. We also analyze...

In this paper, the gravity with a deviation is considered. Modification of the Lane-Emden equation and Jeans’ instability condition is performed based on the gravity with a deviation. Some exact and numerical solutions are given for the modified Lane-Emden equation.

The Event Horizon Telescope (EHT) imaging of the supermassive black holes at the centers of Messier 87 galaxy and the Milky Way galaxy marks a significant step in observing the photon rings and central brightness depression that define the optical appearance of black holes with an accretion disk scenario. Inspired by this, we take into account a st...

In this work, by a novel approach to studying the scattering of a Schwarzschild black hole, the non-commutativity is introduced as perturbation. We begin by reformulating the Klein-Gordon equation for the scalar field in a new form that takes into account the deformed non-commutative spacetime. Using this formulation, an effective potential for the...

This study explores the impact of antisymmetric tensor effects on spherically symmetric black holes, investigating photon spheres, shadows, emission rate and quasinormal frequencies in relation to a parameter which triggers the Lorentz symmetry breaking. We examine these configurations without and with the presence of a cosmological constant. In th...

In this paper, we investigate the influence of anti-symmetric tensor effects, which trigger the Lorentz symmetry breaking, on charged spherically symmetric black holes. Initially, we address an overview of the model, laying the groundwork for deriving solutions to black holes. With this, we analyze the horizons, critical orbits, and geodesics. We c...

Motivated by the effect of the energy of moving particles in C -metric, we first obtain exact accelerating black hole solutions in gravity’s rainbow. Then, we study the effects of gravity’s rainbow and C -metric parameters on the Ricci and Kretschmann scalars, and also the asymptotical behavior of this solution. Next, we indicate how different para...

In this paper, we adopt q-deformed binary operations, such as q-addition, q-subtraction, q-multiplication, and q-division, to construct the q-deformed Schrödinger equation in one dimension. We explore the mathematics involving q-deformed binary operations. We q-deform the ordinary commutator and the definition of Fock space in q-deformed quantum me...

Using density functional theory and Boltzmann equations, this study calculates and compares the electronic, optical, thermoelectric, and thermodynamic properties of bulk and single-layer germanium carbide structures. It has been shown that germanium carbide in the bulk structure has an indirect energy band gap of 1.61eV. In a single layer structure...

This work explores various manifestations of bumblebee gravity within the metric--affine formalism. We investigate the impact of the Lorentz violation parameter, denoted as $X$, on the modification of the \textit{Hawking} temperature. Our calculations reveal that as $X$ increases, the values of the \textit{Hawking} temperature attenuate. To examine...

In this paper we consider the discrete heat equation with a certain non-uniform space interval which is related to q-addition appearing in the non-extensive entropy theory. By taking the continuous limit, we obtain the q-deformed heat equation. Similarly, we obtain the solution of the q-deformed difiusion equation.

In this work, the quasinormal mode, greybody factors, and absorption cross section of de Sitter Reissner‐Nordström black hole surrounded by quintessence field in Rastall gravity are studied. The violation of energy‐momentum conservation has a non‐linear effect on the quasinormal modes. With an increase in the black hole charge, both real parts of q...

This article delves into the Ramsauer-Townsend effect regarding the realm of quaternionic relativistic quantum mechanics. The investigation centers on studying the Dirac equation within this framework. The article presents a thorough examination of various facets of the subject matter, including a comprehensive analysis of quaternionic potential we...

This study explores the impact of antisymmetric tensor effects on spherically symmetric black holes, investigating photon spheres, shadows, and quasinormal frequencies in relation to a parameter which triggers the Lorentz symmetry breaking. We examine these configurations without and with the presence of a cosmological constant. In the first scenar...

The Modified Generalized Liquid Drop Model (MGLDM) has been used for calculating the ground-to-ground states of [Formula: see text]-decay half-lives for various Ac, Th, Pa, U and Np isotopes in the mass number range of [Formula: see text]. To account for the nuclear proximity energy, the potential of Blocki et al. ⁷⁴ [J. Blocki, J. Randrup, W. J. S...

In this paper, quantum mechanics on a circle with finite number of α-uniformly distributed points is discussed. The angle operator and translation operator are defined. Using discrete angle representation, two types of discrete angular momentum operators and Hermitian Hamiltonian on a circle with d α-distributed discrete angles are constructed. The...

The classification of critical points of charged topological black holes (TBHs) in anti-de Sitter spacetime (AdS) under the Power Maxwell Invariant (PMI)-massive gravity is accomplished within the framework of black hole chemistry (BHC). Considering the grand canonical ensemble (GCE), we show that $$d=4$$ d = 4 black hole have only one topological...

In this work, we investigate thermodynamic properties and the relativistic behavior of a neutral spin-one boson particle in one-dimensional space by means of the gen- eralized Duffin-Kemmer-Petiau (DKP) equation generated by incorporating a new nonminimal coupling related to the q-deformed formalism. Then, we obtain analyti- cal solutions of the ge...

In this work, we investigate the thermodynamics of four-dimensional charged anti-de Sitter (AdS) black hole surrounded by perfect fluids in the context of Rastall theory. We derive the equations of state by considering the charge square Q2 and the metric parameter Ns as the thermodynamic variables. The Q2−Φ and Ns−Θs figures for some special surrou...

In this work, by a novel approach to studying the scattering of a Schwarzschild black hole, the non--commutativity is introduced as a perturbation. We begin by reformulating the Klein--Gordon equation for the scalar field in a new form that takes into account the deformed non--commutative spacetime. Using this formulation, an effective potential fo...

This paper explores the topic of relativistic particles with zero spins from a unique perspective. Our approach is derived from the Dunkl derivative, which we used to investigate this issue. By examining the (1+1)-dimensional DKP equation, we obtain eigenfunctions. Additionally, we replace the standard partial derivative with the Dunkl derivative a...

In this work, we have studied the quasinormal modes and greybody factors of AdS/dS Reissner-Nordstr\"om black hole surrounded by quintessence field in Rastall gravity. The violation of energy-momentum conservation has a non-linear effect on the quasinormal modes. With an increase in the black hole charge, both real part of quasinormal modes i.e. os...

We are interested in a fermion-antifermion pair in magnetized 2 + 1 dimensional optical background with constant negative curvature. One implements this background for obtaining the optical metric of the BTZ black hole similar to the hyperbolic wormhole. To analyze the evolution of the considered system, we start with constructing the corresponding...

This paper explores the relativistic behavior of spin--half particles possessing an Electric Dipole Moment (EDM) in a curved spacetime background induced by a spiral dislocation. A thorough review of the mathematical formulation of the Dirac spinor in the framework of quantum field theory sets the foundation for our investigation. By deriving the a...

In this article, the \(\kappa\)-deformation formalism, which is in the form of \(e_\kappa(x)=(\sqrt{1+\kappa ^2 x^2}+\kappa x)^{(\frac{1}{\kappa })}\), is investigated. Using the \(\kappa\)-deformation, the Fermi energy, for box problem with the Schrödinger equation, has been investigated and calculated. In addition, we calculated the internal ener...

This work explores various manifestations of bumblebee gravity within the metric--affine formalism. We investigate the impact of Lorentz violation parameter, denoted as $X$, on the modification of the \textit{Hawking} temperature. Our calculations reveal that as $X$ increases, the values of the \textit{Hawking} temperature attenuate. To examine the...

Within the black hole chemistry (BHC) framework, the critical points of charged topological black holes (TBHs) in anti-de Sitter spacetime (AdS) under the Power Maxwell Invariant (PMI)-massive gravity are classified. Considering the grand canonical ensembles (GCE), we find that $d\ge 4$ and $d\ge 6$ black holes are in the same topological class, wh...

In this work, we investigate the consequences of Lorentz-violating terms in the thermodynamic properties of a 1-dimensional quantum ring. In particular, we use the ensemble theory to obtain our results of interest. The thermodynamic functions as well as the spin currents are calculated as a function of the temperature. We observe that parameter $\x...

In this paper, the quasinormal modes of the Schwarzschild black hole under the extended generalized uncertainty principle (EGUP) with the minimal length and momentum are investigated. We derive the EGUP-corrected black hole metric function which indicates quantum effects do not alter the event horizon. Based on this, we consider the perturbation of...

This work is devoted to study the thermodynamic behavior of photon--like particles within the \textit{rainbow} gravity formalism. To to do this, we chose two particular ansatzs to accomplish our calculations. First, we consider a dispersion relation which avoids UV divergences, getting a positive effective cosmological constant. We provide \textit{...

This work investigates several key aspects of a non--commutative theory with mass deformation. We calculate thermodynamic properties of the system and compare our results with recent literature. We examine the \textit{quasinormal} modes of massless scalar perturbations using two approaches: the WKB approximation and the P\"oschl--Teller fitting met...

This work investigates several key aspects of a non-commutative theory with mass deformation. We calculate thermodynamic properties of the system and compare our results with recent literature. We examine the quasinormal modes of massless scalar perturbations using two approaches: the WKB approximation and the Pöschl-Teller fitting method. Our resu...

The effects of dark matter spike in the vicinity of the supermassive black hole, located at the center of M87 (the Virgo A galaxy), are investigated within the framework of the so-called Bumblebee Gravity. Our primary aim is to determine whether the background of spontaneous Lorentz symmetry breaking has a significant effect on the horizon, ergo-re...

In this paper we consider a charged Wigner-Dunkl quantum system in the presence of a constant magnetic field. It is shown that this system obeys gauge invariance if minimally coupled to a vector potential following the Dunkl-Maxwell relations. A family of vector potentials, which generate the constant magnetic field, is constructed explicitly. The...

In this paper, we study the relativistic quantum dynamics of a neutral Dirac particle with a permanent magnetic dipole moment that interacts with an external magnetic field in the background space-time of a linear topological defect called spiral dislocation. The generalized Dirac wave equation is derived from the full action of that model involvin...

Our research aims to investigate how the gravitational field influences the spectroscopic structure of the Feshbach-Villars oscillator in G\"urses space-time. To achieve this, we utilize the first-order Feshbach-Villars version of the Klein-Gordon equation, which is a relativistic wave equation for spinless particles. We examine the oscillator's qu...

In this paper, we study the relativistic spin-zero bosons influenced by the Klein-Gordon oscillator in Rindler space-time. The obtained form of the energy level of the oscillator is used to find the thermody-namic properties through the partition function. This partition function is terminated by using the method based on the zeta function via the...

In this paper, the DKP equation has been studied in q-deformed quantum mechanics. After rewriting the DKP equation in the new formalism, the system of coupled equations for the components of the wave function has been decoupled. Then, three problems of one-dimensional scattering have been studied in detail. Effects of the deformation parameter, pot...

In this paper, we examine the harmonic oscillator problem in non-commutative phase space (NCPS) by using the Dunkl derivative instead of the habitual one. After defining the Hamilton operator, we use the polar coordinates to derive the binding energy eigenvalue. We find eigenfunctions that correspond to these eigenvalues in terms of the Laguerre fu...

In this paper, quantum mechanics on a circle with finite number of {\alpha}-uniformly distributed points is discussed. The angle operator and translation operator are defined. Using discrete angle representation, two types of discrete angular momentum operators and Hermitian Hamiltonian on a circle with d {\alpha}-distributed discrete angles are co...

In this paper, we investigated the fractional heat equation with fractional translation in both time and position with different fractional orders. As examples, we considered a rod and an α -disk with an initial constant temperature and discussed their cooling processes in the examined formalism.

We discuss quantum mechanical systems with Dunkl derivatives by constructing the Dunkl-Heisenberg relation in the momentum representation by means of the reflection operator for momentum and we obtain the corresponding position quantum eigenfunction. We examine the one-dimensional Dunkl oscillator in the momentum space in terms of ν-deformed Hermite...

The effects of dark matter spike in the vicinity of the supermassive black hole, located at the center of M87 (the Virgo A galaxy), are investigated within the framework of the so-called Bumblebee Gravity. Our primary aim is to determine whether the background of spontaneous Lorentz symmetry breaking has a significant effect on the horizon, ergo-re...

In this paper, we studied the nonrelativistic quantum mechanics of an electron in a spacetime containing a topological defect. We also considered that the electron is influenced by the Hulthén potential. In particular, we dealt with the Schrödinger equation in the presence of a global monopole. We obtained approximate solutions for the problem, det...

In this paper, we study the nonrelativistic quantum mechanics of an electron in a spacetime containing a topological defect. We also consider that the electron is influenced by the Hulth\'{e}n potential. In particular, we deal with the Schr\"{o}dinger equation in the presence of a global monopole. We obtain approximate solutions for the problem, de...

In this research, we find the quantum correction of the Schwarzschild black hole metric based on the generalized uncertainty principle (GUP). We assume a massless field scalar field, with an effective potential according to the GUP effect. After obtaining the effective potential numerically, we apply approximation on the effective potential to find...

This paper introduces a new analytical approach for the calculation of Quasi Normal Modes (QNMs) of black holes. The proposed method employs the Rosen-Morse function, in order to find the approximated quasi-normal frequencies of Schwarzschild black hole. The presented method, compared with the previous related method, demonstrates to be a more prec...

In this paper, we construct a deformed Schwarzschild black hole from the de Sitter gauge theory of gravity within Dunkl generalization and we determine the metric coefficients versus Dunkl parameter and parity operators. Since the spacetime coordinates are not affected by the group transformations, only fields are allowed to change under the action...

The solution of the Schr"odinger equation for the two quasi-exactly solvable potentials is presented using the lie algebra approach. It is shown that all models give rise to the same basic differential equation which is quasi-exactly solvable. The eigenvalues, eigenfunctions, and the allowed potential parameters are given for each of the two models...

In this work, we study the thermodynamic properties on a non–commutative background via gravitational gauge field potentials. This procedure is accomplished after contracting de Sitter (dS) group, SO(4,1), with the Poincarè group, ISO(3,1). Particularly, we focus on a static spherically symmetric black hole. In this manner, we calculate the modifie...

In this paper, we introduce matrix operator algebra involving a universal curvature constant and using the Dunkl derivative. Consequently, the Dirac equation can be written without spin connections. Iterating the Dirac equation gives the Klein–Gordon equation in its canonical form without first-order Dunkl derivatives. This leads to a new form for...

In this paper the Hermitian momentum operator on the usual Hilbert space is constructed for the Wigner-Dunkl quantum mechanics utilizing a symmetric Dunkl derivative. The inverse of the derivative is shown to exhibit different realisation on the subspaces of even and odd functions. The continuity conditions at finite discontinuities of symmetric pot...

We construct a momentum operator within the Wigner–Heisenberg algebra picture by means of a generalized derivative, a particular case of which is the Dunkl operator. The corresponding Hamiltonian is set up, and the Schrödinger equation is generated. We discuss properties of its bound state solutions and present an application involving a harmonic o...

In this paper we present the discrete thermodynamics where the inverse temperature is not continuous but discrete. We construct the discrete analogue of Boltzmann factor based on the discrete inverse temperature lattice. We study the discrete thermodynamics related to the discrete analogue of Boltzmann factor. We also discuss the superstatistics fo...

In this paper the continuity equation for Wigner-Dunkl-Schrodinger equation is studied. Some properties of ¨ ν-deformed functions related to Dunkl derivative are also studied. Based on these, the step potential and Ramsauer-Townsend effect are discussed in Wigner-Dunkl quantum mechanics

We introduce the Dunkl-Darboux III oscillator Hamiltonian in N dimensions, defined as a $\lambda-$deformation of the N-dimensional Dunkl oscillator. This deformation can be interpreted either as the introduction of a non-constant curvature related to $\lambda$ on the underlying space or, equivalently, as a Dunkl oscillator with a position-dependent...

Based on the Einstein-Maxwell theory, the Joule-Thomson (J-T) expansion of charged dilatonic black holes(the solutions are neither flat nor AdS) for (n + 1)-dimensional spacetime is studied. To this end, we analyze the effects of dimensions n and dilaton field α on the J-T expansion. The explicit expression of J-T coefficient is derived, as a resul...

In this work, we study the thermodynamic properties on a non--commutative background via gravitational gauge field potentials. Particularly, we focus on the static spherically symmetric black hole. Such a procedure is accomplished after contracting de Sitter (dS) group, $\mathrm{SO}(4,1)$, with the Poincar\`e group, $\mathrm{ISO}(3,1)$. After that,...

We consider a relativistic particle in spherical Hartmann potential. Using Tsallis statistics, we investigate the convexity and concavity of the deformed partition function and other thermodynamics properties of the system. We propose an upper bound to calculate the partition function that satisfies the Tsallis conditions. In the case of Tsallis st...

Dunkl derivative enriches solutions by discussing parity due to its reflection operator. Very recently, one of the authors of this manuscript presented one of the most general forms of Dunkl derivative that depends on three Wigner parameters to have a better tuning. In this manuscript, we employ the latter generalized Dunkl derivative in a relativi...

We study the relativistic dynamics of a two-body system with nonminimal couplings in the topological defect-generated 1+2-dimensional space-time by using a fully-covariant two-body Dirac equation. We choose the nonminimal couplings as Cornell type interaction potential function and analyze the dynamics of such an interacting fermion-antifermion sys...

Based on the minimum measurable momentum concepts associated with the quantum gravity effects acting on the large-scale dynamics of the universe, we study the quantum effect of the EUP on the Hawking evaporation of the black hole. The results show the quantum corrections may shorten the lifetime of the massive black hole. To verify the new EUP on t...

In this paper we consider the discrete heat equation with a certain non-uniform space interval which is related to q-addition appearing in the non-extensive entropy theory. By taking the continuous limit, we obtain the q-deformed heat equation. Similarly, we obtain the solution of the q-deformed diffusion equation

The aim of the paper is twofold: First, we generalize the non-relativistic Horava–Lifshitz four-dimensional black hole solution to include the electric charge to show a correspondence with the charged AdS solution in four-dimensional Einstein Gauss–Bonnet theory, and then we explore the phenomenological aspects of this black hole solution. Among ot...