Thermodynamic properties and bound state solutions of Schrodinger equation with Mobius square plus screened-Kratzer potential using Nikiforov-Uvarov method

Okon, I. B.; Popoola, Oyebola; Omugbe, E.; Antia, Akaninyene D.; Isonguyo, Cecilia N.; Ituen, Eno E.

doi:10.1016/j.comptc.2020.113132

Cited by 26 publications

(19 citation statements)

References 34 publications

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“…The practical application of energy eigenvalue of Schrödinger equation in investigating the partition function, thermodynamic properties, and superstatistics arouses the interest of many researchers. Recently, Okon et al [54] obtained the thermodynamic properties and bound state solutions of the Schrödinger equation using Mobius square plus screened Kratzer potential for two diatomic systems (carbon(II) oxide and scandium fluoride) within the framework of the Nikiforov-Uvarov method. Their results were in agreement to semiclassical WKB among others.…”

Section: Introductionmentioning

confidence: 99%

Approximate Solutions, Thermal Properties, and Superstatistics Solutions to Schrödinger Equation

Okon

Onate

Omugbe

et al. 2022

Advances in High Energy Physics

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In this work, we apply the parametric Nikiforov-Uvarov method to obtain eigensolutions and total normalized wave function of Schrödinger equation expressed in terms of Jacobi polynomial using Coulomb plus Screened Exponential Hyperbolic Potential (CPSEHP), where we obtained the probability density plots for the proposed potential for various orbital angular quantum number, as well as some special cases (Hellmann and Yukawa potential). The proposed potential is best suitable for smaller values of the screening parameter α . The resulting energy eigenvalue is presented in a close form and extended to study thermal properties and superstatistics expressed in terms of partition function Z and other thermodynamic properties such as vibrational mean energy U , vibrational specific heat capacity C , vibrational entropy S , and vibrational free energy F . Using the resulting energy equation and with the help of Matlab software, the numerical bound state solutions were obtained for various values of the screening parameter ( α ) as well as different expectation values via Hellmann-Feynman Theorem (HFT). The trend of the partition function and other thermodynamic properties obtained for both thermal properties and superstatistics were in excellent agreement with the existing literatures. Due to the analytical mathematical complexities, the superstatistics and thermal properties were evaluated using Mathematica 10.0 version software. The proposed potential model reduces to Hellmann potential, Yukawa potential, Screened Hyperbolic potential, and Coulomb potential as special cases.

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Section: Introductionmentioning

confidence: 99%

Approximate Solutions, Thermal Properties, and Superstatistics Solutions to Schrödinger Equation

Okon

Onate

Omugbe

et al. 2022

Advances in High Energy Physics

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“…Furthermore, thermodynamic properties of screened Kratzer potential in the presence of magnetic and Aharanov-Bohm fields have been reported [37] . Recent works on thermodynamic properties of various systems have been reported [38] , [39] , [40] , [41] , [42] , [43] , [44] , [45] .…”

Section: Introductionmentioning

confidence: 99%

Nonrelativistic solutions of Schrödinger equation and thermodynamic properties with the proposed modified Mobius square plus Eckart potential

Onyenegecha

Njoku

Opara

et al. 2022

Heliyon

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“…6 Okon et al studied thermodynamic properties and bound state solutions of Schrödinger equation with Mobius square plus screened-Kratzer potential using Nikiforov-Uvarov method for two diatomic molecules CO and ScF. 7 Okorie et al 8 examined the diatomic molecules energy spectra for the generalized Mobius square potential model by employing the dissociation energy and equilibrium bond length as explicit parameters. The Mobius square potential is the general case of some potentials and plays a vital role in many fields, it has been used to model internuclear interaction potential curves for different states of diatomic molecules and can be used to model the internuclear interaction potential curve for different electronic states of and diatomic molecules.…”

Section: Introductionmentioning

confidence: 99%

New relativistic and nonrelativistic model of diatomic molecules and fermionic particles interacting with improved modified Mobius potential in the framework of noncommutative quantum mechanics symmetries

Maireche

2021

Yanbu Journal of Engineering and Science

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In this study, the deformed Klein–Gordon equation, Dirac equation, and Schrödinger equations were solved with the improved the modified Mobius square potential model (IMSPM, in short) using Bopp’s shift and standard perturbation theory methods in the symmetries of extended quantum mechanics. By employing the improved approximation to the centrifugal term, the relativistic and nonrelativistic bound state energies were obtained for some selected diatomic molecules (H2, I2, CO, NO, and HCl). The relativistic shift energy ΔEmsptot(n,α,A,B,V0,Θ,σ,χ,j,l,s,m) and the perturbative nonrelativistic corrections ΔEmspnr(n,α,A,B,V0,Θ,σ,χ,j,l,s,m) appeared as a function of the parameters (α,A,B,V0), the parameters of noncommutativity (Θ,σ,χ), in addition to the atomic quantum numbers (n,j,l,s,m). In both relativistic and nonrelativistic problems, we show that the corrections on the spectrum energy are smaller than the main energy in the ordinary cases of RQM and NRQM. A straightforward limit of our results to ordinary quantum mechanics shows that the present result under the improved modified Mobius square potential model is consistent with what is obtained in the literature. In the new symmetries of NCQM, is not possible to get the exact analytical solutions for l=0 and l≠0 can only be solved approximately. Through this research, we came to two noteworthy results, the first is related to the deformed Klein-Gordon equation under the influence of the improved modified Mobius square potential model becomes equivalent to the Duffin-Kemmer equation for a meson with spin-s, while the second result concerns the deformed Schrödinger equation, which can now describe the state of high-energy fermionic particles similar to the Dirac equation in the literature.

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Thermodynamic properties and bound state solutions of Schrodinger equation with Mobius square plus screened-Kratzer potential using Nikiforov-Uvarov method

Cited by 26 publications

References 34 publications

Approximate Solutions, Thermal Properties, and Superstatistics Solutions to Schrödinger Equation

Approximate Solutions, Thermal Properties, and Superstatistics Solutions to Schrödinger Equation

Nonrelativistic solutions of Schrödinger equation and thermodynamic properties with the proposed modified Mobius square plus Eckart potential

New relativistic and nonrelativistic model of diatomic molecules and fermionic particles interacting with improved modified Mobius potential in the framework of noncommutative quantum mechanics symmetries

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