Klein–Gordon and Dirac Equations with Thermodynamic Quantities

Arda, Altuğ; Tezcan, Ç.; Sever, R.

doi:10.1007/s00601-015-1031-7

Cited by 21 publications

(14 citation statements)

References 18 publications

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“…The plots of the exact and Poisson summation partition functions and other behaviours of the thermodynamic functions as a function of temperature b with a fixed upper bound vibration quantum number m max ¼ g ¼ 25 for the electronic state 3 3 R þ g of Cs 2 dimer are shown in Figs. 1, 2 , 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 and 15. This study can find many other applications in statistical and molecular physics [29][30][31][32][33][34][35][36][37][38].…”

Section: Discussionmentioning

confidence: 99%

Exact and Poisson summation thermodynamic properties for diatomic molecules with shifted Tietz potential

et al. 2019

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Section: Discussionmentioning

confidence: 99%

Exact and Poisson summation thermodynamic properties for diatomic molecules with shifted Tietz potential

et al. 2019

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“…In addition, the analytical iteration method (AIM) reproduces the exact solutions to many differential equations which are important in the applications to many problems in physics, such as the equations of Hermite, Laguerre, Legendre, and Bessel. The AIM also gives a complete exact solution of Schr ̈dinger equation for P ̈sch-Teller potential, the harmonic oscillator potential, the complex cubic, quartic [5], and sextic anharmonic oscillator potentials [6][7][8].…”

Section: -Introductionmentioning

confidence: 99%

Trigonometric Rosen–Morse Potential as a Quark–Antiquark Interaction Potential for Meson Properties in the Non-relativistic Quark Model Using EAIM

Abu‐Shady

Ezz-Alarab

2019

Few-Body Syst

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Trigonometric Rosen-Morse potential is suggested as the quarkantiquark interaction potential for studying the thermodynamic properties and the masses of heavy and heavy-light mesons. For this purpose, Nradial Schr dinger equation is analytically solved using an exact analytical iteration method (EAIM). The eigenvalues of energy and corresponding wave functions are obtained in the N-dimensional space. The present results are applied for calculating the mass of heavy mesons such as charmonium c ̅, bottomonium b ̅ , b ̅ and c ̅ mesons and thermodynamic properties such as the mean-internal energy, the specific heat, the free energy, and the entropy. The effect of dimensional number is studied on the meson masses. A comparison is studied with other works and experimental data. The present potential provides satisfying results in comparison with other works and experimental data.

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“…Now, let us concentrate our efforts in the main thermodynamic quantities. Therefore, using relations (13) and the partition function (22), the Helmholtz free energy, the mean energy, the entropy and the heat capacity for the non-relativistic case are written as…”

Section: B the Non-relativistic Casementioning

confidence: 99%

Thermodynamic properties of neutral Dirac particles in the presence of an electromagnetic field

Oliveira

Filho

2020

Eur. Phys. J. Plus

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In this paper, we investigate the thermodynamic properties of a set of neutral Dirac particles in the presence of an electromagnetic field in contact with a heat bath for the relativistic and nonrelativistic cases. In order to perform the calculations, the high-temperature limit is considered and the Euler-MacLaurin formula is taking into account. Next, we explicitly determine the behavior of the main thermodynamic functions of the canonical ensemble: the Helmholtz free energy, the mean energy, the entropy, and the heat capacity. As a result, we verified that the mean energy and the heat capacity for the relativistic case are two times the values of the non-relativistic case, thus, satisfying the so-called Dulong-Petit law. In addition, we also verified that the Helmholtz free energy and the entropy in both cases increase as a function of the electric field. Finally, we note that there exists no influence on the thermodynamic functions due to the magnetic field.

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Klein–Gordon and Dirac Equations with Thermodynamic Quantities

Cited by 21 publications

References 18 publications

Exact and Poisson summation thermodynamic properties for diatomic molecules with shifted Tietz potential

Exact and Poisson summation thermodynamic properties for diatomic molecules with shifted Tietz potential

Trigonometric Rosen–Morse Potential as a Quark–Antiquark Interaction Potential for Meson Properties in the Non-relativistic Quark Model Using EAIM

Thermodynamic properties of neutral Dirac particles in the presence of an electromagnetic field

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