Analytical solutions of the Klein-Gordon equation for the deformed generalized Deng-Fan potential plus deformed Eckart potential

Hatami, N.; Naji, J.; Pananeh, M.

doi:10.1140/epjp/i2019-12451-3

Cited by 10 publications

(12 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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%

See 1 more Smart Citation

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

et al. 2022

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%

“…The essence of joining at least two physical potential models is to take into account more physical application and comparative analysis to 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

View full text Add to dashboard Cite

show abstract

“…Using exponential-type potentials, various quantum mechanical wave equations have been extensively studied [34,35]. It has been contended that these types of potentials are much more efficient than their competitors, which exist in Coulomb, or inverse forms and have significant roles in solid-state physics, nuclear physics, and other fascinating domains [36,37].…”

Section: Introductionmentioning

confidence: 99%

The Information-Theoretic Treatment of Spinless Particles with the Assorted Diatomic Molecular Potential

Roshanzamir

2022

Advances in High Energy Physics

View full text Add to dashboard Cite

The relativistic solutions of the Klein-Gordon equation comprising an interaction of the generalized inversely quadratic Yukawa potential mixed linearly with the hyperbolic Schiöberg molecular potential is achieved employing the idea of parametric Nikiforov-Uvarov and the Greene-Aldrich approximation scheme. The energy spectra and the corresponding normalized wave functions are derived regarding the hypergeometric function in a closed form for arbitrary ℓ -state. Numerical results of the energy eigenvalue are proposed. Moreover, special circumstances of this potential are reviewed, and their energy eigenvalues were assessed. Subsequently, the Tsallis entropy and Rényi entropy both in position and momentum spaces are defined under the desired potential. The impacts of these entropies on the angular momentum quantum number are explored in detail.

show abstract

“…In this work, we will shed light on two potentials. The first one is the Deng-Fan potential [11] which can be used in chemical physics, molecular spectroscopy, molecular physics, and related fields [12], while the second is the Eckart potential [13]. This potential is related to the diatomic molecular potential model that is used very widely in physical chemistry and biophysics [14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

“…In 2013, Awogaa et al studied the Schrödinger equation with these combined potentials in D-dimensions [31]. Very recently, Hatami et al [12] considered the Klein-Gordon equation under the linear combination of the deformed generalized Deng-Fan potential and deformed Eckart potential using the Nikiforov-Uvarov and the 𝑞-deformed version of the approximation scheme proposed in [32], and obtained the relativistic energy spectrum for any l -state and the corresponding radial wave functions. This new combination is useful in studying the atomic interaction in diatomic molecules such as H 2 , CO, ScN, and ScF [33].…”

Section: Introductionmentioning

confidence: 99%

Diatomic Molecules with the Improved Deformed Generalized Deng–Fan Potential Plus Deformed Eckart Potential Model through the Solutions of the Modified Klein–Gordon and Schrödinger Equations within NCQM Symmetries

Maireche

2022

Ukr. J. Phys.

View full text Add to dashboard Cite

In this study, the deformed Klein–Gordon equation and Schr¨odinger equations were solved with the improved deformed generalized Deng–Fan potential plus the deformed Eckart potential (IDGDFDE-P, in short) model using Bopp’s shift and standard perturbation theory methods in the symmetries of extended quantum mechanics. By employing the improved approximation to the centrifugal term, the relativistic and nonrelativistic bound-state energies are obtained for some selected diatomic molecules such as N2, I2, HCl, CH, LiH, and CO. The relativistic energy shift ΔEtotdfe (n, a, c, b, V0, V1, V2, Θ, σ, χ, j, l, s, m) and the perturbative nonrelativistic corrections ΔEnrdfe (n, α, c, b, V0, V1, V2, Θ, σ, χ, j, l, s, m) appeared as functions of the parameters (α, c, b, V0, V1, V2) and the parameters of noncommutativity (Θ, σ, χ), in addition to the atomic quantum numbers (n, j, l, s, m). In both relativistic and nonrelativistic problems, we show that the corrections to the energy spectrum are smaller than for the main energy in the ordinary cases of RQM and NRQM. A straightforward limit of our results to ordinary quantum mechanics shows that the present results under the IDGDFDE-P model is are consistent with what is obtained in the literature. In the new symmetries of noncommutative quantum mechanics (NCQM), it is not possible to get the exact analytical solutions for l = 0 and l ̸ = 0. Only the approximate ones can be obtained. We have clearly shown that the Schr¨odinger and Klein–Gordon equations in the new symmetries can physically describe two Dirac equations and the Duffin–Kemmer equation within the IDGDFDE-P model in the extended symmetries.

show abstract

Analytical solutions of the Klein-Gordon equation for the deformed generalized Deng-Fan potential plus deformed Eckart potential

Cited by 10 publications

References 38 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

The Information-Theoretic Treatment of Spinless Particles with the Assorted Diatomic Molecular Potential

Diatomic Molecules with the Improved Deformed Generalized Deng–Fan Potential Plus Deformed Eckart Potential Model through the Solutions of the Modified Klein–Gordon and Schrödinger Equations within NCQM Symmetries

Contact Info

Product

Resources

About