Showing papers by "Hassan Hassanabadi published in 2018"
TL;DR: In this paper, the relativistic dynamics of a Dirac field in the Som-Raychaudhuri space-time, which is described by a Godel-type metric and a stationary cylindrical symmetric solution of Einstein field equations for a charged dust distribution in rigid rotation, was investigated.
Abstract: We investigate the relativistic dynamics of a Dirac field in the Som–Raychaudhuri space-time, which is described by a Godel-type metric and a stationary cylindrical symmetric solution of Einstein field equations for a charged dust distribution in rigid rotation. In order to analyze the effect of various physical parameters of this space-time, we solve the Dirac equation in the Som–Raychaudhuri space-time and obtain the energy levels and eigenfunctions of the Dirac operator by using the Nikiforov–Uvarov method. We also examine the behaviour of the Dirac oscillator in the Som–Raychaudhuri space-time, in particular, the effect of its frequency and the vorticity parameter.
58 citations
TL;DR: Based on doubly special relativity, a new generalized uncertainty principle (GUP) was proposed in this article, where the coordinate remains unaltered at high energy while the momentum is deformed at the high energy so that it may be bounded from the above.
47 citations
TL;DR: In this paper, the relativistic quantum dynamics of a DKP oscillator field subject to a linear interaction in cosmic string space-time was studied and the effects of topological defects on the scalar field were investigated.
Abstract: We study the relativistic quantum dynamics of a DKP oscillator field subject to a linear interaction in cosmic string space-time in order to better understand the effects of gravitational fields produced by topological defects on the scalar field. We obtain the solution of DKP oscillator in the cosmic string background. Also, we solve it with an ansatz in the presence of a linear interaction. We obtain the wave functions and the energy levels of the relativistic field in that background.
45 citations
TL;DR: In this paper, the alpha decay half-lives of 356 isotopes were studied using the Royer and related Formula and are compared with experimental data, and the results show that the predicted half-life matches well with the experimental data over a wide range for each (Z, N ) parity of the parent nuclei.
43 citations
TL;DR: In this article, the q-deformed algebra and Schrodinger equation under an external magnetic field were discussed and a generalized version of the ordinary superstatistic for the non-equilibrium systems were derived.
Abstract: We discuss the q-deformed algebra and study the Schrodinger equation in commutative and noncommutative spaces, under an external magnetic field. In this work, we obtain the energy spectrum by an analytical method and the thermodynamic properties of the system by using the q-deformed superstatistics are calculated. Actually, we derive a generalized version of the ordinary superstatistic for the non-equilibrium systems. Also, different effective Boltzmann factor descriptions are derived. In addition, we discuss about the results for various values of $ \theta$
in commutative and noncommutative spaces and, to illustrate the results, some figures are plotted.
34 citations
TL;DR: In this paper, the authors derived the thermodynamic properties of the canonical ensemble of the anharmonic oscillator in the cosmic-string framework using the ordinary statistics approach and also these quantities have been obtained in the q-deformed superstatistics.
Abstract: In this article, we determine the thermodynamical properties of the anharmonic canonical ensemble within the cosmic-string framework. We use the ordinary statistics and the q-deformed superstatistics for this study. The q-deformed superstatistics is derived by modifying the probability density in the original superstatistics. The Schrodinger equation is rewritten in the cosmic-string framework. Next, the anharmonic oscillator is investigated in detail. The wave function and the energy spectrum of the considered system are derived using the bi-confluent Heun functions. In the next step, we first determine the thermodynamical properties for the canonical ensemble of the anharmonic oscillator in the cosmic-string framework using the ordinary statistics approach. Also, these quantities have been obtained in the q-deformed superstatistics. For vanishing deformation parameter, the ordinary results are obtained.
33 citations
TL;DR: In this paper, the relativistic quantum dynamics of a Klein-Gordon scalar field subject to a Cornell potential in spinning cosmic-string space-time was studied, in order to better understand the effects of gravitati...
Abstract: We study the relativistic quantum dynamics of a Klein–Gordon scalar field subject to a Cornell potential in spinning cosmic-string space-time, in order to better understand the effects of gravitati...
33 citations
TL;DR: In this paper, the authors used the generalized liquid-drop model (GLDM) with 1977 nuclear proximity potential proposed by Blocki et al. The result obtained with the present formalism is compared with the experimental half-lives and half-life using GLDM The standard deviation of the present approach is found to be 034, which is less than that of GLDM of Royer.
Abstract: The \ensuremath{\alpha}-decay half-lives of superheavy nuclei are studied using the generalized liquid-drop model (GLDM) with 1977 nuclear proximity potential proposed by Blocki et al [Ann Phys (NY) 105, 427 (1977)] The result obtained with the present formalism is compared with the experimental half-lives and half-lives using GLDM The standard deviation of the present approach is found to be 034, which is less than that of GLDM of Royer (056) The study is extended to predict the \ensuremath{\alpha} half-lives of some of the unknown isotopes in superheavy region We hope that the predictions on the \ensuremath{\alpha}-decay half-lives using the present formalism may be helpful in future investigations in this field
33 citations
TL;DR: In this article, the effects of cosmic string framework on the thermodynamic properties of an anharmonic oscillator using the ordinary statistics and the q-deformed superstatistics approaches were investigated.
Abstract: In this paper, we show the detail of our recent paper Effects of cosmic-string framework on the thermodynamical properties of an anharmonic oscillator using the ordinary statistics and the q-deformed superstatistics approaches published in the Eur. Phys. J. C. Actually, we prepare this comment against the comment prepared by Francisco A. Cruz Neto and Luis B. Castro [arXiv:1804.03012].
31 citations
TL;DR: In this paper, a conformable fractional quantum mechanic has been introduced using three postulates: Schr¨odinger equation, probability density, probability flux and continuity equation, and its effects on the fractional-radial harmonic oscillator have been investigated.
Abstract: In this paper, a conformable fractional quantum mechanic has been introduced using three postulates. Then in such a formalism, Schr¨odinger equation, probability density, probability flux and continuity equation have been derived. As an application of considered formalism, a fractional-radial harmonic oscillator has been considered. After obtaining its wave function and energy spectrum, effects of the conformable fractional parameter on some quantities have been investigated and plotted for different excited states.
27 citations
TL;DR: In this paper, a discussion of a relativistic spin-0 system in the presence of a Godel-type background space-time is presented, where the Duffin-Kemmer-Petiau (DKP) equation is studied in detail.
Abstract: This paper contains a discussion of a relativistic spin-0 system in the presence of a Godel-type background space-time. The Duffin–Kemmer–Petiau (DKP) equation in the presence of a Godel-type background space-time is studied in detail. After a derivation of the final form of this equation in the considered framework, free spin-0 particles have been studied.
TL;DR: In this article, the α-decay half-lives for the even-even, even-odd, odd-even and odd-odd of 356 nuclei in the range 52 ≤ Z p ≤ 118 have been studied within the analytical formula of Royer and also within the modified analytical formula.
TL;DR: In this paper, the Dirac equation is constructed using the conformable fractional derivative so that in its limit for the fractional parameter, the normal version is recovered, and the Cornell potential is considered as the interaction of the system.
Abstract: In this paper,the Dirac equation is constructed using the conformable fractional derivative so that in its limit for the fractional parameter, the normal version is recovered. Then, the Cornell potential is considered as the interaction of the system. In this case, the wave function and the energy eigenvalue equation are derived with the aim of the bi-confluent Heun functions. use of the conformable fractional derivative is proven to lead to a branching treatment for the energy of the system. Such a treatment is obvious for small values of the fractional parameter, and a united value as the fractional parameter approaches unity.
TL;DR: In this paper, the effective Boltzmann factor in a deformed formalism for modified Dirac delta, uniform, two-level and Gamma distributions is derived, and the effects of all parameters in the problems are calculated and shown graphically.
Abstract: In this article, after first introducing superstatistics, the effective Boltzmann factor in a deformed formalism for modified Dirac delta, uniform, two-level and Gamma distributions is derived. Then we make use of the superstatistics for four important problems in physics and the thermodynamic properties of the system are calculated. All results in the limit case are reduced to ordinary statistical mechanics. Furthermore, effects of all parameters in the problems are calculated and shown graphically.
TL;DR: In this paper, the Dirac equation and Dirac harmonic oscillator in one-dimensional via the Dunkl algebra were solved by using Dunkl derivative and the momentum operator and Hamiltonian.
Abstract: In this work, we study the Dirac equation and Dirac harmonic oscillator in one-dimensional via the Dunkl algebra. By using Dunkl derivative, we solve the momentum operator and Hamiltonian that incl...
TL;DR: In this article, the Schrodinger equation in one-dimensional in the presence of q-deformed Morse potential is derived using an analytical methodology to calculate the energy eigenvalues.
Abstract: In this paper, after introducing superstatistics in quantum mechanics, first, the Schrodinger equation in one-dimensional in the presence of q -deformed Morse potential is derived. We use an analytical methodology to calculate the energy eigenvalues. Then the thermodynamic properties of the system are calculated. Furthermore, we report effects of all parameters in the problems on the thermodynamic quantities.
TL;DR: In this article, the covariant Duffin-Kemmer-Petiau equation was established for spin-zero bosons in a (€ 3+1$$ )-dimensional Som-Raychaudhuri space-time.
Abstract: We investigate the Duffin–Kemmer–Petiau equation for spin-zero bosons in a (
$$3+1$$
)-dimensional Som–Raychaudhuri space–time. We establish the covariant Duffin–Kemmer–Petiau equation in this curved space–time for the so-called oscillator and we include interaction with a scalar potential. We determine eigenfunctions and the corresponding eigenvalues for the oscillator with the Cornell potential. We investigate the effect of the space–time’s parameters, oscillator’s frequency and the Cornell potential’s parameters on the wave functions.
TL;DR: In this article, the behavior of relativistic spin-zero bosons in the space-time generated by a spinning cosmic string was investigated and the generalized beta-matrices in terms of the flat space time ones were obtained.
Abstract: In this article, we investigate the behaviour of relativistic spin-zero bosons in the space-time generated by a spinning cosmic string. We obtain the generalized beta-matrices in terms of the flat space-time ones and rewrite the covariant form of Duffin-Kemmer-Petiau (DKP) equation in spinning cosmic string space-time. We find the solution of DKP oscillator and determine the energy levels. We also discuss the influence of the topology of the cosmic string on the energy levels and the DKP spinors.
TL;DR: In this paper, the wave function and energy of these cases are found using bi-confluent Heun functions and the results are examined by reproducing experimental data of some isotopes for each case.
TL;DR: Based on the one-dimensional quantum mechanics on (anti-de Sitter) background, Chung and Hassanabadi as mentioned in this paper discussed the Ramsauer-Townsend effect, and also fo...
Abstract: Based on the one-dimensional quantum mechanics on (anti)-de Sitter background [W. S. Chung and H. Hassanabadi, Mod. Phys. Lett. A 32, 26 (2107)], we discuss the Ramsauer–Townsend effect. We also fo...
TL;DR: In this paper, the authors have studied the scattering problem of relativistic fermions from a quaternionic double Dirac delta potential in the presence of the scalar and vector potentials in the quaternion formalism.
Abstract: We have studied the scattering problem of relativistic fermions from a quaternionic double Dirac delta potential. We have used Dirac equation in the presence of the scalar and vector potentials in the quaternionic formalism of relativistic quantum mechanics to study the problem. The wave functions of different regions have been derived. Then, using the reflection coefficient, transmission coefficient, and the continuity equation, the scattering problem has been investigated in detail. It has been shown that we have faced some fluctuations in the reflection and transmission coefficients.
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TL;DR: In this article, the behavior of relativistic spin-zero bosons in the space-time generated by a spinning cosmic string was investigated and the generalized beta matrices in terms of the flat spacetime ones were obtained.
Abstract: In this article, we investigate the behavior of relativistic spin-zero bosons in the space-time generated by a spinning cosmic string. We obtain the generalized beta matrices in terms of the flat spacetime ones and rewrite the covariant form of DuffinKemmer-Petiau (DKP) equation in spinning cosmic string space-time. We find the solution of DKP oscillator and determine the energy levels. We also discuss the influence of the topology of the cosmic string on the energy levels and the DKP spinors.
TL;DR: In this article, the Klein-Gordon equation is extended in the presence of an Aharonov-Bohm magnetic field for the Cornell potential and corresponding wave functions as well as the spectra are obtained.
Abstract: The Klein–Gordon equation is extended in the presence of an Aharonov–Bohm magnetic field for the Cornell potential and the corresponding wave functions as well as the spectra are obtained. After in...
TL;DR: In this paper, the alpha-decay process in the presence of nuclear temperature was investigated and the half-lives for the even-even nuclei of Po, Pb, Ra, Rb, Rn, Th and U were derived and compared with experimental data.
Abstract: The alpha-decay process is investigated in the presence of the nuclear temperature. Using an analytical approach for the calculation of effective sharp radius and a new barrier potential, the half-lives for the even-even nuclei of Po, Pb, Ra, Rb, Rn, Th and U are derived and compared with the experimental data.
TL;DR: In this article, the general procedure for obtaining the distribution for superstatistics is presented, and the new type of effective Boltzmann factor with non-vanishing rth moments for even moments is introduced.
Abstract: In this paper, the general procedure for obtaining the distribution for the superstatistics is presented. Besides, the new type of effective Boltzmann factor with non-vanishing rth moments for even...
TL;DR: In this article, the scattering states of Klein-Gordon equation for three scatter potentials of single and double Dirac delta and a potential well in the q-deformed formalism of relativistic quantum mechanics have been derived.
Abstract: In this article, Scattering states of Klein–Gordon equation for three scatter potentials of single and double Dirac delta and a potential well in the q-deformed formalism of relativistic quantum mechanics have been derived. At first, we discussed how q-deformed formalism can be constructed and used. Postulates of this q-deformed quantum mechanics are noted. Then scattering problems for spin-zero bosons are studied.
TL;DR: In this article, a two-dimensional Dirac oscillator in the presence of an external magnetic field in terms of q-deformed creation and annihilation operators in the framework of relativistic quantum mechanics with minimal length is introduced.
Abstract: In this article, we introduce a two-dimensional Dirac oscillator in the presence of an external magnetic field in terms of q-deformed creation and annihilation operators in the framework of relativistic quantum mechanics with minimal length. We discuss the eigenvalues of q-deformed Dirac oscillator in two dimensions and report the statistical quantities of the system for a small real q.
TL;DR: In this paper, the T -fluctuated form of superstatistics for a canonical ensemble is studied and the partition functions in the formalism for 2-level and 3-level distributions are derived.
Abstract: In this paper, we study the T -fluctuated form of superstatistics. In this form, some thermodynamic quantities such as the Helmholtz energy, the entropy and the internal energy, are expressed in terms of the T -fluctuated form for a canonical ensemble. In addition, the partition functions in the formalism for 2-level and 3-level distributions are derived. Then we make use of the T -fluctuated superstatistics for a quantum harmonic oscillator problem and the thermal properties of the system for three statistics of the Bose-Einstein, Maxwell-Boltzmann and Fermi-Dirac statistics are calculated. The effect of the deformation parameter on these properties is examined. All the results recover the well-known results by removing the deformation parameter.
TL;DR: In this article, the mass spectrum and decay properties of heavy-light mesons in the non-relativistic potential model were investigated, where a new potential combination containing Cornell, Gaussian and inverse square terms were introduced.
Abstract: In this paper, the study of mass spectrum and decay properties of heavy–light mesons in the non-relativistic potential model is carried out introducing a new potential combination containing Cornell, Gaussian and inverse square terms. The wavefunction is derived using the perturbation method and thereby the mass spectrum, the decay properties of D, $$D_{s}$$
, B and $$B_{s}$$
mesons are calculated. The comparison with other parallel theoretical methods and experimental data is motivating.
TL;DR: In this article, the information-theoretic measures of time-dependent Schrodinger equation via the Shannon information entropy, variance and local Fisher quantities are investigated via the Fourier transformed wave function.
Abstract: The information-theoretic measures of time-dependent Schrodinger equation are investigated via the Shannon information entropy, variance and local Fisher quantities. In our calculations, we consider the two first states $$n = 0,1$$
and obtain the position $$S_{x} (t)$$
and momentum $$S_{p} (t)$$
Shannon entropies as well as Fisher information $$I_{x} (t)$$
in position and momentum $$I_{p} (t)$$
spaces. Using the Fourier transformed wave function, we obtain the results in momentum space. Some interesting features of the information entropy densities $$\rho_{s} (x,t)$$
and $$\gamma_{s} (p,t)$$
, as well as the probability densities $$\rho (x,t)$$
and $$\gamma (p,t)$$
for time-dependent states are demonstrated. We establish a general relation between variance and Fisher’s information. The Bialynicki-Birula–Mycielski inequality is tested and verified for the states $$n = 0,1$$
.