Corrigendum: Thermodynamic properties of the graphene in a magnetic field via the two-dimensional Dirac oscillator (Boumali 2015 <i>Phys. Scr.</i> <b>90</b> 045702)

Thermodynamics properties of heavy mesons are calculated within the framework of the N-dimensional radial Schr ̈dinger equation. The Cornell potential is extended by including the quadratic potential plus the inverse of quadratic potential. The energy eigenvalues and the corresponding wave functions are calculated in the N-dimensional space using the Nikiforov-Uvarov (NV) method. The obtained results are applied for calculating the mass of spectra of charmonium, bottomonium, b ̅ and c ̅ mesons. The thermodynamics properties of heavy quarkonia such as, the mean energy, specific heat, free energy, and entropy are calculated. The effect of temperature and the dimensionality number on heavy mesons masses and thermodynamics properties is investigated. The obtained results are improved in comparison with other theoretical approaches and in a good agreement with experimental data. We conclude that the present potential well describes thermodynamic properties in the three-dimensional space and also the higher dimensional space.

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“…So we apply the following relation as in Refs. [23][24][25]. M=2m+ (25) where, m is bare quark mass for quarkonium.…”

Section: Results and Discussion [41] Quarkonium Massesmentioning

confidence: 99%

“…In addition, the thermodynamic properties are investigated in the framework chiral quark models such as in Refs. [17][18][19] and also in molecular physics using the relativistic and non-relativistic models [20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Masses and thermodynamic properties of heavy mesons in the non-relativistic quark model using the Nikiforov–Uvarov method

2019

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“…In addition, in a recent paper, it has been shown that we can modulate the system of graphene under a magnetic field with a model based on a DO. With this, the author has determined all thermodynamic properties of this system by using the thermal zeta function [44,45].…”

Section: The Solutions In the Presence Of A Magnetic Fieldmentioning

confidence: 99%

Exact Solutions of the (2+1)-Dimensional Dirac Oscillator under a Magnetic Field in the Presence of a Minimal Length in the Non-commutative Phase Space

Boumali

Hassanabadi

2015

Zeitschrift Für Naturforschung A

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“…In this case, the energy spectrum of the system is influenced by the defect [24], in a charged particle-magnetic monopole scattering [25] and on the harmonic oscillator [26]. For the relativistic case, there are studies on the hydrogen atom and pionic atom [27], on the exact solutions of scalar bosons in the presence of the Aharonov-Bohm and Coulomb potentials [28]. In addition, the exact solutions of the Klein Gordon equation in the presence of a dyon, magnetic flux and scalar potential [29] also have been analyzed in the nonrelativistic context.…”

Section: Introductionmentioning

confidence: 99%

Relativistic quantum oscillators in the global monopole spacetime

et al. 2020

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We investigated the effects of the global monopole spacetime on the Dirac and Klein-Gordon relativistic quantum oscillators. In order to do this, we solve the Dirac and Klein-Gordon equations analytically and discuss the influence of this background which is characterized by the curvature of the spacetime on the energy profiles of these oscillators. In addition, we introduce a hard-wall potential and, for a particular case, determine the energy spectrum for relativistic quantum oscillators in this background.

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Corrigendum: Thermodynamic properties of the graphene in a magnetic field via the two-dimensional Dirac oscillator (Boumali 2015 Phys. Scr. 90 045702)

Cited by 23 publications

References 2 publications

Masses and thermodynamic properties of heavy mesons in the non-relativistic quark model using the Nikiforov–Uvarov method

Masses and thermodynamic properties of heavy mesons in the non-relativistic quark model using the Nikiforov–Uvarov method

Exact Solutions of the (2+1)-Dimensional Dirac Oscillator under a Magnetic Field in the Presence of a Minimal Length in the Non-commutative Phase Space

Relativistic quantum oscillators in the global monopole spacetime

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