Thermodynamic properties and the approximate solutions of the Schrödinger equation with the shifted Deng–Fan potential model

Oyewumi, K. J.; Falaye, Babatunde J.; Onate, C. A.; Oluwadare, O. J.; Yahya, W. A.

doi:10.1080/00268976.2013.804960

Cited by 131 publications

(103 citation statements)

References 33 publications

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“…with any of these exponential-type potentials are obtained using different methods which include: asymptotic iteration method (AIM) [10][11][12][13][14][15][16], Nikiforov-Uvarov (N.U) method [17][18][19][20], exact/ proper quantization rule [21], supersymmetric method [22][23][24][25][26][27], 1/N shifted expansion method [28], etc.…”

Section: Introductionmentioning

confidence: 99%

Eigensolutions of the Schrödinger equation with a class of Yukawa potentials via supersymmetric approach

Onate

Ojonubah

2015

J Theor Appl Phys

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Using the basic concept of the supersymmetric shape invariance approach and formalism, we obtained an approximate solution of the Schrödinger equation with an interaction of inversely quadratic Yukawa potential, Yukawa potential and Coulomb potential which we considered as a class of Yukawa potentials. By varying the potential strengths, we obtained a solution for Hellmann potential, Yukawa potential, Coulomb potential and inversely quadratic Yukawa potential. The numerical results we obtained show that the interaction of these potentials is equivalent to each of the potential.

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Section: Introductionmentioning

confidence: 99%

Eigensolutions of the Schrödinger equation with a class of Yukawa potentials via supersymmetric approach

Onate

Ojonubah

2015

J Theor Appl Phys

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“…Our currently found energy states are reasonably compared with the other findings. The vibrational energy is close to 7 digits with AIM [27] but found to agree with GPS [26] up to 4 digits. However, the rotational-vibrational energy states are close close to 5 digits with AIM.…”

Section: Numerical Results and Discussionmentioning

confidence: 69%

“…Now inserting this potential into the Schrödinger equation, and then use the approximation of the form [27]: after an appropriate coordinate transformation of the form y = e βr − 1 −1 has been introduced. Now, we can write the non-linear Riccati equation for the ground state as…”

Section: Shifted Deng-fan Molecular Potentialmentioning

confidence: 99%

Spectroscopic study of some diatomic molecules via the proper quantization rule

Falaye

Ikhdair²,

Hamzavi

2015

J Math Chem

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Spectroscopic techniques are very essential tools in studying electronic structures, spectroscopic constants and energetic properties of diatomic molecules. These techniques are also required for parametrization of new method based on theoretical analysis and computational calculations. In this research, we apply the proper quantization rule in spectroscopic study of some diatomic molecules by solving the Schrödinger equation with two solvable quantum molecular systems-Tietz-Wei and shifted DengFan potential models for their approximate nonrelativistic energy states via an appropriate approximation to the centrifugal term. We show that the energy levels can be determined from its ground state energy. The beauty and simplicity of the method applied in this study is that, it can be applied to any exactly as well as approximately solvable models. The validity and accuracy of the method is tested with previous techniques via numerical computation for H 2 and CO diatomic molecules. The result also include energy spectrum of 5 different electronic states of NO and 2 different electronic state of ICl.

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“…To verify the energetic behavior of

H Cl

molecules, we have compared some of the most important thermodynamic functions in analogy with other authors . We calculated the Morse potential and the EP parameters.…”

Section: Discussionmentioning

confidence: 99%

Thermodynamic properties of diatomic molecule systems under SO(2,1)‐anharmonic Eckart potential

Valencia-Ortega

Arias-Hernandez

2018

Int J of Quantum Chemistry

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Due to one of the most representative contributions to the energy in diatomic molecules being the vibrational, we consider the generalized Morse potential (GMP) as a typical interaction for one‐dimensional microscopic systems, which describes local anharmonic effects. From the Eckart potential (EP) model, it is possible to find a connection with the GMP model, as well as obtaining the analytical expression for the energy spectrum because it is based on SOtrue(2,1true) algebras. This gives the macroscopic properties such as vibrational mean energy U, specific heat C, Helmholtz free energy F, and entropy S for a heteronuclear diatomic system, as well as with the exact partition function and its approximation for the high temperature region. Finally, a comparison is made between the graphs of some thermodynamic functions obtained with the GMP and the Morse potential (MP) for H Cl molecules.

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Thermodynamic properties and the approximate solutions of the Schrödinger equation with the shifted Deng–Fan potential model

Cited by 131 publications

References 33 publications

Eigensolutions of the Schrödinger equation with a class of Yukawa potentials via supersymmetric approach

Eigensolutions of the Schrödinger equation with a class of Yukawa potentials via supersymmetric approach

Spectroscopic study of some diatomic molecules via the proper quantization rule

Thermodynamic properties of diatomic molecule systems under SO(2,1)‐anharmonic Eckart potential

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