Approximate solutions of the Dirac equation with Coulomb-Hulthén-like tensor interaction

Onate, C. A.; Adebimpe, Olukayode; Lukman, Adewale F.; Adama, Ibrahim Joseph; Davids, E.O.; Dopamu, Kehinde Oladele

doi:10.1016/j.rinp.2018.10.052

Cited by 11 publications

(8 citation statements)

References 38 publications

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“…These values conforms with results obtained using other methods [18,28,29,30]. The results obtained by formula method are very close to those reported using the N-U [28], SUSY [26], and WKB [18] methods and hence more accurate than those obtained by numerical methods [30]. The reason for this is that the authors in Ref.…”

Section: Discussionsupporting

confidence: 89%

Solutions of Schrodinger Equation And Thermodynamic Properties of Potassium Dimer Based On Formular Method

Onyenegecha¹,

Njoku²,

Oguzie³

et al. 2021

Preprint

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The study presents the thermodynamic properties of the XI Σ+g state of potassium (K2) dimer with molecular Deng-Fan potential. The bound state energy solution of the radial Schrodinger equation is obtained via the formula method. The partition function and other thermodynamic properties are evaluated. The numerical values of energy are found to be in agreement with results obtained from other methods in literature. The results further show that the partition function increases as temperature decreases, which implies a decrease in the probability of finding a particle in a state with quantum number, n.

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Section: Discussionsupporting

confidence: 89%

Solutions of Schrodinger Equation And Thermodynamic Properties of Potassium Dimer Based On Formular Method

Onyenegecha¹,

Njoku²,

Oguzie³

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…For the condition where

1

, Onate et al [57] , derived a simplified energy equation for the formula method given by

…”

Section: Formula Methodsmentioning

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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“…The method is gaining popularity because it is considered simple, accurate, and easy in applications. Recently, some authors have applied this method in various studies [34,41,42]. We consider the differential equation [43] of the form…”

Section: Non Relativistic Solution Of Schr€ Odinger Equation With Iqhkpmentioning

confidence: 99%

Nonrelativistic treatment of inversely quadratic Hellmann-Kratzer potential and thermodynamic properties

Onyenegecha

Anouz

Opara

et al. 2021

Heliyon

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The study presents approximate analytical solutions of the Schr€ odinger equation with a newly proposed potential model called Inversely Quadratic Hellmann-Kratzer potential (IQHKP). This potential is a superposition of Inversely Quadratic Hellman potential and Kratzer potential. The energy eigenvalues and corresponding wavefunction are calculated via the formula method. We applied our results to evaluate thermodynamic functions such as vibrational free energy, F, vibrational internal energy, U, vibrational entropy, S, and vibrational specific heat, C. We also reported special cases of importance.

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Approximate solutions of the Dirac equation with Coulomb-Hulthén-like tensor interaction

Cited by 11 publications

References 38 publications

Solutions of Schrodinger Equation And Thermodynamic Properties of Potassium Dimer Based On Formular Method

Solutions of Schrodinger Equation And Thermodynamic Properties of Potassium Dimer Based On Formular Method

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

Nonrelativistic treatment of inversely quadratic Hellmann-Kratzer potential and thermodynamic properties

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