Dirac Equation and Thermodynamic Properties With The  Modified Kratzer Potential

2021 ◽  
Author(s):  
Chibueze P. Onyenegecha ◽  
Ifeanyi J. Njoku ◽  
Andrew Omame ◽  
Chioma J. Okereke
Keyword(s):  
Dirac Equation ◽  
Thermodynamic Properties ◽  
Modified Kratzer Potential

scholarly journals Dirac equation and Thermodynamic properties with the Modified Kratzer potential

Heliyon ◽  
2021 ◽  
pp. e08023
Author(s):  
C.P. Onyenegecha ◽  
I.J. Njoku ◽  
A. Omame ◽  
C.J. Okereke ◽  
E. Onyeocha
Keyword(s):  
Dirac Equation ◽  
Thermodynamic Properties ◽  
Modified Kratzer Potential

scholarly journals Spin and pseudospin solutions to Dirac equation and its thermodynamic properties using hyperbolic Hulthen plus hyperbolic exponential inversely quadratic potential

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Ituen B. Okon ◽  
E. Omugbe ◽  
Akaninyene D. Antia ◽  
C. A. Onate ◽  
Louis E. Akpabio ◽  
...  
Keyword(s):  
Dirac Equation ◽  
Thermodynamic Properties ◽  
Energy Equation ◽  
Pseudospin Symmetry ◽  
Spin Symmetry ◽  
Bound State ◽  
Compact Form ◽  
Relativistic Energy ◽  
Quadratic Potential ◽  
Special Cases

AbstractIn this research article, the modified approximation to the centrifugal barrier term is applied to solve an approximate bound state solutions of Dirac equation for spin and pseudospin symmetries with hyperbolic Hulthen plus hyperbolic exponential inversely quadratic potential using parametric Nikiforov–Uvarov method. The energy eigen equation and the unnormalised wave function were presented in closed and compact form. The nonrelativistic energy equation was obtain by applying nonrelativistic limit to the relativistic spin energy eigen equation. Numerical bound state energies were obtained for both the spin symmetry, pseudospin symmetry and the non relativistic energy. The screen parameter in the potential affects the solutions of the spin symmetry and non-relativistic energy in the same manner but in a revised form for the pseudospin symmetry energy equation. In order to ascertain the accuracy of the work, the numerical results obtained was compared to research work of existing literature and the results were found to be in excellent agreement to the existing literature. The partition function and other thermodynamic properties were obtained using the compact form of the nonrelativistic energy equation. The proposed potential model reduces to Hulthen and exponential inversely quadratic potential as special cases. All numerical computations were carried out using Maple 10.0 version and Matlab 9.0 version softwares respectively.

Bound state solutions of the Dirac equation for the generalized Cornell potential model

2021 ◽  
Author(s):  
M. Abu-Shady ◽  
E. M. Khokha
Keyword(s):  
Dirac Equation ◽  
Mass Spectra ◽  
Potential Model ◽  
Spin Symmetry ◽  
Bound State ◽  
Energy Eigenvalues ◽  
Cornell Potential ◽  
Modified Kratzer Potential ◽  
Quadratic Potentials ◽  
Light Mesons

In this study, the bound state solutions of the Dirac equation (DE) have been determined with the generalized Cornell potential model (GCPM) under the condition of spin symmetry. The GCPM includes the Cornell potential plus a combination of the harmonic and inversely quadratic potentials. In the framework of the Nikiforov–Uvarov (NU) method, the relativistic and nonrelativistic energy eigenvalues for the GCPM have been obtained. The energies spectra of the Kratzer potential (KP) and the modified Kratzer potential (MKP) have been derived as particular cases of the GCPM. The present results have been applied to some diatomic molecules (DMs) as well as heavy and heavy-light mesons. The energy eigenvalues of the KP and MKP have been computed for several DMs, and they are fully consistent with the results found in the literature. In addition, the energy eigenvalues of the GCPM have been employed for predicting the spin-averaged mass spectra of heavy and heavy-light mesons. One can note that our predictions are in close agreement with the experimental data as well as enhanced compared to the recent studies.

Research on the semiclassical theory and Hawking tunneling radiation of nonstationary Kerr black hole

2020 ◽  
Vol 35 (30) ◽  
pp. 2050193
Author(s):  
Tao Wang ◽  
Xinxing Wu ◽  
Qun-Chao Ding ◽  
Shu-Zheng Yang
Keyword(s):  
Black Hole ◽  
Dirac Equation ◽  
Thermodynamic Properties ◽  
Event Horizon ◽  
Kerr Black Hole ◽  
Semiclassical Theory ◽  
Tunneling Radiation ◽  
Jacobi Equations ◽  
Tunneling Behavior

In this paper, the tunneling radiations of spin 1/2 and spin 3/2 fermions from the nonstationary Kerr black hole are investigated. First, according to the Dirac equation and the Rarita–Schwinger equation, the Hamilton–Jacobi equations for spin 1/2 and 3/2 fermions are derived. Then, the tunneling behavior of fermions on the event horizon of the black hole is investigated. Finally, the thermodynamic properties of the nonstationary Kerr black hole are obtained.

scholarly journals Relativistic and nonrelativistic solutions of the generalized Pöschl–Teller and hyperbolical potentials with some thermodynamic properties

2015 ◽  
Vol 24 (03) ◽  
pp. 1550020 ◽  
Author(s):  
C. A. Onate ◽  
J. O. Ojonubah
Keyword(s):  
Dirac Equation ◽  
Thermodynamic Properties ◽  
Hypergeometric Functions ◽  
Energy Equation ◽  
Energy Levels ◽  
Nonrelativistic Limit ◽  
Wave Functions ◽  
Approximation Type ◽  
Supersymmetric Approach

By using the new approximation type, the Dirac equation is solved with the combination of Generalized Pöschl–Teller and Hyperbolical potentials within the framework of supersymmetric approach. The energy levels are obtained for both pseudospin and spin symmetries and the nonrelativistic limit is obtained with the corresponding wave functions in terms of hypergeometric functions. Some thermodynamic properties are equally obtained with the energy equation of the nonrelativistic limit.

Models of Thermodynamic Properties of Prominences

1979 ◽  
Vol 44 ◽  
pp. 349-355
Author(s):  
R.W. Milkey
Keyword(s):  
Thermodynamic Properties ◽  
Mass Transport ◽  
Emission Spectrum ◽  
Thermodynamic Parameters ◽  
Working Group ◽  
Physical Processes ◽  
Theoretical Concepts ◽  
Group 3 ◽  
Observational Techniques

The focus of discussion in Working Group 3 was on the Thermodynamic Properties as determined spectroscopically, including the observational techniques and the theoretical modeling of physical processes responsible for the emission spectrum. Recent advances in observational techniques and theoretical concepts make this discussion particularly timely. It is wise to remember that the determination of thermodynamic parameters is not an end in itself and that these are interesting chiefly for what they can tell us about the energetics and mass transport in prominences.

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