Approximate solutions of Schrödinger equation for the Hua plus modified Eckart potential with the centrifugal term

Onyenegecha, Chibueze P.; Ukewuihe, U. M.; Opara, Alexander Iheanyichukwu; Agbakwuru, C. B.; Okereke, C. J.; Ugochukwu, Ndubuisi Rich; Okolie, Stanley A.; Njoku, I. J.

doi:10.1140/epjp/s13360-020-00595-2

Cited by 20 publications

(15 citation statements)

References 37 publications

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“…Recent studies have focused on the combination of, at least, two potentials. The essence of combining two or more physical potential models is to take into account more physical phenomena into existing investigations of molecular physics [81][82][83][84][85].…”

Section: Introductionmentioning

confidence: 99%

Application of Eckart-Hellmann potential to study selected diatomic molecules using Nikiforov-Uvarov-Functional analysis method

et al. 2022

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The energy levels of the Schrödinger equation under the Eckart-Hellmann potential (EHP) energy function are studied by the Nikiforov-Uvarov-Functional Analysis (NUFA) method. We obtained the analytic solution of the energy spectra and the wave function in closed form with the help of Greene-Aldrich approximation. The numerical bound states energy for various screening parameters at different quantum states and vibrational energies of EHP for CuLi, TiH, VH, and TiC diatomic molecules were computed. Four exceptional cases of this potential were achieved. To test the accuracy of our results, we computed the bound states energy eigenvalues of Hellmann potential which are in excellent agreement with the report of other researchers.

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Section: Introductionmentioning

confidence: 99%

Application of Eckart-Hellmann potential to study selected diatomic molecules using Nikiforov-Uvarov-Functional analysis method

et al. 2022

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“…The interaction of two or more potential models in describing quantum systems is interesting due to increased applications. Many known potential models have been combined recently in the framework of the Schr€ odinger equation with great success [1,2,3,4,5,6,7]. As a motivation, in the present study, a superposition of the inversely quadratic Hellmann and Kratzer potentials (IQHKP) is studied within the concept of non-relativistic quantum mechanics.…”

Section: Introductionmentioning

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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“…As there are many systems which do not have exact solutions, approximate solutions, despite their drawbacks, are very essential. The approximate solutions of Schrodinger equation with different potentials have been reported [1][2][3][4][5][6]. One of such potentials is the Hua plus modified Eckart (HPME) potential [2,3].…”

Section: Introductionmentioning

confidence: 99%

“…The approximate solutions of Schrodinger equation with different potentials have been reported [1][2][3][4][5][6]. One of such potentials is the Hua plus modified Eckart (HPME) potential [2,3]. This potential is given as…”

Section: Introductionmentioning

confidence: 99%

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Approximate Solutions, Thermodynamic Properties and Expectation Values With the Hua Plus Modified Eckart (HPME) Potential

Njoku

Okereke

Onyenegecha

et al. 2021

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The approximate solutions of Schrodinger equation for the Hua plus modified Eckart (HPME) potential is obtained via the Formula method. The vibrational partition function and other thermodynamic properties were investigated. Using the Hellmann-Feynman theorem, the expectation values of r -2, T and p2 and their numerical values are also presented. Some cases of this potential are also studied. The results of our study are consistent with those in literature.

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Approximate solutions of Schrödinger equation for the Hua plus modified Eckart potential with the centrifugal term

Cited by 20 publications

References 37 publications

Application of Eckart-Hellmann potential to study selected diatomic molecules using Nikiforov-Uvarov-Functional analysis method

Application of Eckart-Hellmann potential to study selected diatomic molecules using Nikiforov-Uvarov-Functional analysis method

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

Approximate Solutions, Thermodynamic Properties and Expectation Values With the Hua Plus Modified Eckart (HPME) Potential

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