Energy spectra and the expectation values of diatomic molecules confined by the shifted Deng-Fan potential

Oluwadare, O. J.; Oyewumi, K. J.

doi:10.1140/epjp/i2018-12210-0

Cited by 64 publications

(54 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Also, for any quantum state, there is a decrease in ro-vibrational energies as the dimension increases. This trend is consistent with the relation of energy eigenvalues and quantum numbers, as observed in [49] for the selected diatomic molecules. In addition, we observe that there exist an inter-dimensional degeneracy symmetry for the selected diatomic molecules…”

Section: Resultssupporting

confidence: 91%

“…We consider different diatomic molecules (HCl NiC CO I , , , 2 ) with spectroscopic parameters as shown in table 1. These parameters were adopted from [49] and applied to equation (24) to compute the numerical values of the non-relativistic ro-vibrational energies for arbitrary quantum numbers in different dimensions, as shown in tables 2-5. We observe from the tables presented that the non-relativistic ro-vibrational energies for the selected diatomic molecules decrease as the quantum numbers (v J , ) increase.…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Solutions of the Klein Gordon equation with generalized hyperbolic potential in D-dimensions

et al. 2019

View full text Add to dashboard Cite

We solve the D-dimensional Klein-Gordon equation with a newly proposed generalized hyperbolic potential model, under the condition of equal scalar and vector potentials. The relativistic bound state energy equation has been obtained via the functional analysis method. We obtained the relativistic and non-relativistic ro-vibrational energy spectra for different diatomic molecules. The numerical results for these diatomic molecules tend to portray inter-dimensional degeneracy symmetry. Variations of the energy eigenvalues obtained with the potential parameters have been demonstrated graphically. Our studies will find relevant applications in the areas of chemical physics and high-energy physics.

show abstract

Section: Resultssupporting

confidence: 91%

Section: Resultsmentioning

confidence: 99%

Solutions of the Klein Gordon equation with generalized hyperbolic potential in D-dimensions

et al. 2019

View full text Add to dashboard Cite

show abstract

“…The solutions of the bound states of the Schrodinger equation (SE) with the molecular Deng-Fan -type potential have been reported in the literature [1,[3][4][5][6][7][8][9][10][11][12]. The relativistic bound states solutions of the Deng-Fan potential have also been presented in the literature [13,14].…”

Section: Short Communicationmentioning

confidence: 99%

“…Hamzavi et al [10] applied the NU and the Amplitude Phase (AP) methods to estimate the energy spectrum of the SE confined by the shifted DFP. Other methods such as the Exact Quantization Rule (EQR) [11] and the Wentzel-Kramers-Brillouin (WKB) approximation scheme [12] have been applied to find the bound energy eigenvalues of the SE with the shifted DFP. The authors in Oluwadare and Oyewumi [11] obtained the energy spectra and the expectation values of some diatomic molecules generated by the shifted Deng-Fan potential.…”

Section: Short Communicationmentioning

confidence: 99%

“…Other methods such as the Exact Quantization Rule (EQR) [11] and the Wentzel-Kramers-Brillouin (WKB) approximation scheme [12] have been applied to find the bound energy eigenvalues of the SE with the shifted DFP. The authors in Oluwadare and Oyewumi [11] obtained the energy spectra and the expectation values of some diatomic molecules generated by the shifted Deng-Fan potential. While Amos et al [12] obtained the analytical bound state solution of the SE in closed form.…”

Section: Short Communicationmentioning

confidence: 99%

See 1 more Smart Citation

Non-relativistic Energy Spectrum of the Deng-Fan Oscillator via the WKB Approximation Method

Omugbe

2020

AJOPACS

View full text Add to dashboard Cite

The energy spectrum of the radial Schrodinger equation with the molecular Deng Fan potential has been obtained through the WKB approximation scheme. The radial WKB solution yields a transcendental or an implicit equation. The energy eigenvalues for non-physical and real molecular interacting systems are presented. In comparison with the numerical eigenvalues obtained with MATHEMATICA 3.0 package, the WKB approximation method produces improved results over the results obtained with other analytical methods in the literature.

show abstract

Ro‐vibrational energy and thermodynamic properties of molecules subjected to Deng–Fan potential through an improved approximation

Nath

Roy

2021

Int J of Quantum Chemistry

View full text Add to dashboard Cite

Accurate solution of the Schrödinger equation with Deng-Fan potential is presented by means of Nikiforov-Uvarov method. A modified Pekeris-type approximation is proposed for the centrifugal term, from a linear combination of the r ! 0 and r ! r e limits. It can potentially offer a series of approximations (depending on an adjustable parameter λ). The existing approximations in the literature can then be recovered in certain special cases. Its efficiency and feasibility is demonstrated by a critical comparison of eigenvalues produced at various λ's for four molecules, namely, H 2 , LiH, HCl and CO. Analytical expressions are derived for energies, eigenfunctions and the thermodynamic properties such as vibrational mean free energy, vibrational free energy, vibrational entropy and vibrational specific heat. The effect of quantum correction on partition function and thermodynamic properties is discussed by including the correction up to 10th-order, for H 2 and LiH. The effect of λ parameter on these properties is also studied.

show abstract

Energy spectra and the expectation values of diatomic molecules confined by the shifted Deng-Fan potential

Cited by 64 publications

References 35 publications

Solutions of the Klein Gordon equation with generalized hyperbolic potential in D-dimensions

Solutions of the Klein Gordon equation with generalized hyperbolic potential in D-dimensions

Non-relativistic Energy Spectrum of the Deng-Fan Oscillator via the WKB Approximation Method

Ro‐vibrational energy and thermodynamic properties of molecules subjected to Deng–Fan potential through an improved approximation

Contact Info

Product

Resources

About