Relativistic Symmetries of ( $${{\rm D}+1}$$ D + 1 ) Dimensional Dirac Equation with Multiparameter Exponential-Type Potentials Using Supersymmetric Quantum Mechanics

Ikot, Akpan N.; Obong, H. P.; Hassanabadi, H.

doi:10.1007/s00601-015-0974-z

Cited by 15 publications

(5 citation statements)

References 39 publications

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“…In 2012, García‐Martínez et al constructed an exactly solvable multiparameter exponential‐type potential (MPETP) based on the canonical transformation method applied to a general second‐order differential equation. This potential model has attracted much attention . Ovando et al showed that the MPETP includes some well‐known diatomic potentials such as the Manning‐Rosen potential, Schiöberg potential and Tietz potential as special cases.…”

Section: Introductionmentioning

confidence: 99%

“…Ovando et al investigated in detail the supersymmetric properties of the MPETP. Investigations of the bound and scattering states of the Schrödinger, Klein‐Gordon, and Dirac equations for the MPETP in three and higher spatial dimensions have aroused considerable interest of many authors . However, as far as we know, one has not reported any investigation on modeling internuclear interaction potential curves for real diatomic molecules by employing the MPETP.…”

Section: Introductionmentioning

confidence: 99%

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Improved multiparameter exponential‐type potential for diatomic molecules

Xie¹,

Jia

2019

Int J of Quantum Chemistry

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We report an improved multiparameter exponential-type potential (MPETP) energy model for diatomic molecules. It is found that this potential is identical to the Tietz potential in the realm of diatomic molecules. The efficiency of the improved MPETP is clarified by simulating the internuclear interaction potential curve for the A ( 3 Π 1 ) state of the chlorine monofluoride molecule.chlorine monofluoride, improved multiparameter exponential-type potential, internuclear interaction potential

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Improved multiparameter exponential‐type potential for diatomic molecules

Xie¹,

Jia

2019

Int J of Quantum Chemistry

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“…given in ( 6) has a negative derivative expression for this value of ( ) z  [18] using (30), the most suitable expression of ( )…”

Section: Nlj Ementioning

confidence: 99%

Analytical Investigation of the Single-Particle Energy Spectrum in Magic Nuclei of ⁵⁶Ni and ¹¹⁶Sn

et al. 2020

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The analytical solutions of the radial D-dimensional Schrödinger equation for the Yukawa potential plus spin-orbit and Coulomb interaction terms are presented within the framework of the Nikiforov-Uvarov method by using the Greene-Aldrich approximation scheme to the centrifugal barrier. The energy eigenvalues obtained are employed to calculate the single-energy spectrum of ⁵⁶Ni and ¹¹⁶Sn for distinct quantum states. We have also obtained corresponding normalized wave functions for the magic nuclei manifested in terms of Jacobi polynomials. However, the energy spectrum without Spin-orbit and Coulomb interaction terms precisely matches the quantum mechanical system of the Yukawa potential field at any arbitrary state.

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“…Thus, the energy spectra of the negative partner potential V À ðrÞ can be determined by using the shape invariance approach [36,37].…”

Section: Schr€ Odinger Equation and The Generalized Group Of Potential Modelsmentioning

confidence: 99%

Application of Schrödinger equation in quantum well of Cu2ZnSnS4 quaternary semiconductor alloy

Onate

Ebomwonyi

Olanrewaju

2020

Heliyon

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An approximate solution of the radial Schr€ odinger equation is obtained with a generalized group of potentials in the presence of both magnetic field and potential effect using supersymmetric quantum mechanics and shape invariance methodology. The energy bandgap of the generalized group of potentials was calculated for s À wave cases at the ground state. By varying the numerical values of the potential strengths, the energy band gap of Hellmann's potential and Coulomb-Hulthẻn potential respectively were obtained. It is noted that the inclusion of the potential effect greatly affects the accuracy of the results. Our calculated results are in agreement and better than the existing calculated results. The present results approximately coincide with the standard bandgap of Cu 2 ZnSnS 4 (CZTS).

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Relativistic Symmetries of ( $${{\rm D}+1}$$ D + 1 ) Dimensional Dirac Equation with Multiparameter Exponential-Type Potentials Using Supersymmetric Quantum Mechanics

Cited by 15 publications

References 39 publications

Improved multiparameter exponential‐type potential for diatomic molecules

Improved multiparameter exponential‐type potential for diatomic molecules

Analytical Investigation of the Single-Particle Energy Spectrum in Magic Nuclei of ⁵⁶Ni and ¹¹⁶Sn

Application of Schrödinger equation in quantum well of Cu2ZnSnS4 quaternary semiconductor alloy

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