Showing papers by "Hassan Hassanabadi published in 2023"
22 Feb 2023
TL;DR: In this paper , a deformed Schwarzschild black hole is constructed from the de Sitter gauge theory of gravity within Dunkl generalization and the metric coefficients versus Dunkl parameter and parity operators are determined.
Abstract: 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 of the symmetry group. A particular ansatz for the gauge fields is chosen and the components of the strength tensor are computed as well. Additionally, we analyze the modifications on the thermodynamic properties to a spherically symmetric black hole due to Dunkl parameters for even and odd parities. Finally, we verify a novel remark highlighted from heat capacity: the appearance of a phase transition when the odd parity is taken into account.
6 citations
TL;DR: In this article , the generalized uncertainty principle (GUP) was used to find the quantum correction of the Schwarzschild black hole metric based on a massless field scalar field with an effective potential according to the GUP effect.
4 citations
2 citations
TL;DR: In this paper , a new analytical approach for the calculation of quasi-normal modes (QNMs) of black holes is introduced and compared with the results obtained by Mashhoon method and numerical method.
2 citations
TL;DR: In this paper , the generalized Dunkl derivatives instead of the standard partial derivatives in the Schrödinger equation were used to obtain an explicit expression of the generalized Schnorr equation in 3D.
2 citations
TL;DR: In this article , the Hermitian momentum operator on the usual Hilbert space is constructed for the Wigner-Dunkl quantum mechanics utilizing a symmetric Dunkl derivative, which exhibits different realization on the subspaces of even and odd functions.
Abstract: 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 realization on the subspaces of even and odd functions. The continuity conditions at finite discontinuities of symmetric potential is investigated. As an example, the finite symmetric square well is discussed in detail.
2 citations
TL;DR: In this paper , 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 were studied.
Abstract: Abstract 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 involving the Lagrangian density of the Dirac spinor field in the background and the interaction model. The energy eigenvalues and corresponding wave functions are found in closed form by reducing the problem to that of a non-relativistic particle moving freely on a plane with a hole at the origin whose radius is determined by the defect parameter. In the limit of vanishing external magnetic field we are also able to establish a hidden SUSY structure of the underlying Dirac Hamiltonian allowing us to discuss the non-relativistic limit in some detail.
1 citations
25 May 2023
TL;DR: In this article , 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).
Abstract: 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 ensembles (GCE), we find that $d\ge 4$ and $d\ge 6$ black holes are in the same topological class, whereas $d\ge 5$ black holes belong to different topological class. Furthermore, the conventional critical point characterized by negative topological charge coincides with the maximum extreme point of temperature; and the novel critical point featuring opposite topological charge corresponds to the minimum extreme point of temperature. With increasing pressure, new phases emerge at the novel critical point while disappearing from the conventional one. Moreover, the atypical van der Waals (vdW) behavior is found in $d\ge 6$ dimensions, and the anomaly disappears at the traditional critical point. In the limit $s\to 1$, the results show that the nonlinearity parameter $(s)$ do not alter the topological classes of charged TBHs in the GCE, but it does affect the possibility of the different topological class in the canonical ensemble. With the absence of $\Phi$, the neutral TBHs share the same topological classes in the same dimension as the charged TBHs in the GCE of Maxwell-massive gravity.
1 citations
TL;DR: In this paper , 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.
Abstract: 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-region, and shadow of the Kerr Bumblebee black hole in the spike region. For this purpose, we first incorporate the dark matter distribution in a Lorentz-violating spherically symmetric space-time as a component of the energy-momentum tensors in the Einstein field equations. This leads to a space-time metric for a Schwarzschild Bumblebee black hole with a dark matter distribution in the spike region and beyond. Subsequently, this solution is generalized to a Kerr Bumblebee black hole through the use of the Newman-Janis-Azreg-Aïnou algorithm. Then, according to the available observational data for the dark matter spike density and radius, and the Schwarzschild radius of the supermassive black hole in Virgo A galaxy, we examine the shapes of shadow and demonstrate the influence of the spin parameter a, the Lorentz-violating parameter ℓ and the corresponding dark matter halo parameters ρ 0 and r 0 on the deformation and size of the shadow.
1 citations
TL;DR: In this paper , the κ -deformation formalism, which is in the form of e κ ( x ) (cid:2) (1) (2) is introduced.
Abstract: In this article, the κ -deformation formalism, which is in the form of e κ ( x ) (cid:2) (
TL;DR: In this article , the authors considered a charged Wigner-Dunkl quantum system in the presence of a constant magnetic field and showed that this system obeys gauge invariance if minimally coupled to a vector potential following the Dunkl-Maxwell relations.
TL;DR: In this paper , a discrete analogue of Boltzmann factor is constructed based on the discrete inverse temperature lattice, where the inverse temperature is not continuous but discrete, and the superstatistics for the discrete temperature are discussed.
Abstract: 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 for the discrete inverse temperature.
TL;DR: In this paper , the nonrelativistic quantum mechanics of an electron in a spacetime containing a topological defect were studied, where the electron is influenced by the Hulthén potential.
Abstract: 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, determined the scattering phase shift and the S-matrix, and analyzed bound states.
TL;DR: In this article , a fermion-antifermion pair in magnetized 2+1-dimensional optical background with constant negative curvature is considered and the evolution of the considered system is analyzed.
TL;DR: In this article , the Dunkl-Heisenberg relation in the momentum representation was constructed by means of the reflection operator for momentum and the corresponding position quantum eigenfunction was obtained.
Abstract: 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 polynomials. We obtain the energy levels as well as the ground-state and excited wave functions in terms of the ν-deformed Hermite polynomials. We also describe some properties of the ν-deformed Hermite polynomials. We apply the method to the construction of coherent states.
02 Apr 2023
TL;DR: In this paper , two types of discrete angular momentum operators and Hermitian Hamiltonian on a circle with d−α-distributed discrete angles are constructed. And the energy levels are computed for a free particle in a circle where the wave function is defined in the d−δ-uniformly distributed discrete angles.
Abstract: 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 constructed. The energy levels are computed for a free particle on a circle where the wave function is defined in the d {\alpha}-distributed discrete angles.
24 Apr 2023
TL;DR: In this article , the first-order Feshbach-Villars version of the Klein-Gordon equation was used to investigate how the gravitational field influences the spectroscopic structure of the oscillator in G\"urses space-time.
Abstract: 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 quantum mechanical behavior in the presence of a Coulomb-type potential, and calculate the resulting wave functions and energy levels for both free and interacting scenarios. In addition, we study the interaction between the Coulomb-type potential and G\"urses space-time affects the Feshbach-Villars oscillator's behavior, specifically with regard to its spectroscopic structure. This study has important implications for our understanding of the interplay between quantum mechanics, relativity, and gravitational fields at the microscopic level.
TL;DR: The solution of the Schrödinger equation for the two quasi-exactly solvable potentials is presented using the Lie algebra approach in this article , and the eigenvalues, eigenfunctions and the allowed potential parameters are given for each of the two models in terms of the roots of a set of algebraic quasiexact solvable methods.
Abstract: The solution of the Schrödinger 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 terms of the roots of a set of algebraic quasi-exact solvable methods.
TL;DR: In this article , the continuity equation for Wigner-dunkl-Schrodinger equation is studied and the step potential and Ramsauer-Townsend effect are discussed.
Abstract: 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