Ro-vibrational energies of the shifted Deng-Fan oscillator potential with Feynman path integral formalism

Boukabcha, Hocine; Hachama, Mohammed; Diaf, Ahmed

doi:10.1016/j.amc.2017.10.044

Cited by 18 publications

(32 citation statements)

References 23 publications

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“…To illustrate the effectiveness of our approximation, selected energies of DF potential are tabulated for two diatomic molecules, namely, [53] and path integral approach [25]; these correspond to the case of λ = 0. On the other hand, the energies of NU method [21,48], asymptotic iteration [55] and Hellmann-Feynman theorem [23] represent the λ = 1 case.…”

Section: Energy Spectrummentioning

confidence: 99%

“…The state indices are given inside the panels. The colored points show literature energies from various references as: Red [22], magenta [23], green [25], yellow [55] and blue [21]…”

Section: Energy Spectrummentioning

confidence: 99%

“…Manning-Rosen [7][8][9][10], Pöschl-Teller [11][12][13], Linnett [14], Hulthén [15][16][17][18], Lippincott [19], shifted/Deng-Fan (DF) [2,[20][21][22][23][24][25], Tietz-Hua [26][27][28][29], Schlöberg [30], Zavitsas [31], deformed Rosen-Morse [32][33][34], Woods-Saxon [35][36][37], pseudoharmonic [38,39], Hajigeorgiou [40].…”

Section: Introductionmentioning

confidence: 99%

“…A Pekeris approximation for centrifugal term and a Nikiforov-Uvarov (NU) method was employed for Dirac, Klein-Gordon and Schrödinger equation [47,48]. Some other methods include a numerical generalized pseudospectral (GPS) Scheme [22], exact quantization rule [23,49], a Feynman path integral formalism for D-dimensional problem [25], and so forth. A comparative analysis for the performance of Morse, Manning-Rosen, Schlöberg and DF potential in the context of diatomic molecules has been offered in Wang et al [50].…”

Section: Introductionmentioning

confidence: 99%

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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

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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.

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Section: Energy Spectrummentioning

confidence: 99%

“…The state indices are given inside the panels. The colored points show literature energies from various references as: Red [22], magenta [23], green [25], yellow [55] and blue [21]…”

Section: Energy Spectrummentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

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“…It is well known that exact solutions of this equation are only possible for a few potential models, such as the Kratzer [6][7], Eckart potential [8][9][10], shifted Deng-Fan [11][12][13][14], Molecular Tietz potential [15][16][17][18], etc. The exact analytical solutions of the Schrödinger equation with some of these potentials are only possible for = 0.…”

Section: Introductionmentioning

confidence: 99%

Solutions of Schrodinger equation and thermal properties of generalized trigonometric Poschl-Teller potential.

et al. 2020

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Analytical solutions of the Schrödinger equation for the generalized trigonometric Pöschl–Teller potential by using an appropriate approximation to the centrifugal term within the framework of the Functional Analysis Approach have been considered. Using the energy equation obtained, the partition function was calculated and other relevant thermodynamic properties. More so, we use the concept of the superstatistics to also evaluate the thermodynamics properties of the system. It is noted that the well-known normal statistics results are recovered in the absence of the deformation parameter and this is displayed graphically for the clarity of our results. We also obtain analytic forms for the energy eigenvalues and the bound state eigenfunction solutions are obtained in terms of the hypergeometric functions. The numerical energy spectra for different values of the principal and orbital quantum numbers are obtained. To show the accuracy of our results, we discuss some special cases by adjusting some potential parameters and also compute the numerical eigenvalue of the trigonometric Pöschl–Teller potential for comparison sake. However, it was found out that our results agree excellently with the results obtained via other methods

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Thermal Functions of Diatomic Molecules Using Hulthén Plus Screened Kratzer Potential

Ghanbari

Jadbaba

2023

J Low Temp Phys

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Ro-vibrational energies of the shifted Deng-Fan oscillator potential with Feynman path integral formalism

Cited by 18 publications

References 23 publications

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

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

Solutions of Schrodinger equation and thermal properties of generalized trigonometric Poschl-Teller potential.

Thermal Functions of Diatomic Molecules Using Hulthén Plus Screened Kratzer Potential

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