Six-Parameter Exponential-Type Potential and the Identity for the Exponential-Type Potentials

Chun-Sheng, Jia; Zeng, Xiangbin; Li, Shu-Chuan; Sun, Lijun; Yang, Qingjie

doi:10.1088/0253-6102/37/5/523

Cited by 13 publications

(1 citation statement)

References 21 publications

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“…Exact solutions of QES-type potentials have been generally obtained by using the phenomenological potentials in the form of polynomial [ 15 ], exponential [ 16 ], trigonometric [ 17 ], and hyperbolic-type functions [ 18 ]. As known, the phenomenological potentials are obtained by using approaches such as selecting a mathematical function and fitting its unknown parameters to some properties, experimentally determined, of the material.…”

Section: Introductionmentioning

confidence: 99%

Theoretical Study of the Exciton Binding Energy and Exciton Absorption in Different Hyperbolic-Type Quantum Wells under Applied Electric, Magnetic, and Intense Laser Fields

Yücel

Sarı

Duque

et al. 2022

IJMS

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In this study, we investigated the exciton binding energy and interband transition between the electron and heavy-hole for the single and double quantum wells which have different hyperbolic-type potential functions subject to electric, magnetic, and non-resonant intense laser fields. The results obtained show that the geometric shapes of the structure and the applied external fields are very effective on the electronic and optical properties. In the absence of the external fields, the exciton binding energy is a decreasing function of increasing well sizes except for the strong confinement regime. Therefore, for all applied external fields, the increase in the well widths produces a red-shift at the absorption peak positions. The magnetic field causes an increase in the exciton binding energy and provides a blue-shift of the absorption peak positions corresponding to interband transitions. The effect of the electric field is quite pronounced in the weak confinement regime, it causes localization in opposite directions of the quantum wells of the electron and hole, thereby weakening the Coulomb interaction between them, causing a decrease in exciton binding energy, and a red-shift of the peak positions corresponding to the interband transitions. Generally, an intense laser field causes a decrease in the exciton binding energy and produces a red-shift of the peak positions corresponding to interband transitions.

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Section: Introductionmentioning

confidence: 99%

Theoretical Study of the Exciton Binding Energy and Exciton Absorption in Different Hyperbolic-Type Quantum Wells under Applied Electric, Magnetic, and Intense Laser Fields

Yücel

Sarı

Duque

et al. 2022

IJMS

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Non‐relativistic Eigen spectra with q‐deformed physical potentials by using the SUSY approach

Eshghi

Mehraban

Ghafoori

2016

Math Methods in App Sciences

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The Schrödinger equation is solved for some of the q‐deformed physical potentials within the framework of supersymmetric approach and supersymmetric Wentzel–Kramers–Brillouin approximation method. The energy levels are obtained with the corresponding normalized wave functions in terms of hypergeometric functions. The energy equations for some special cases of these potentials are discussed, and some of the thermodynamic quantities of the canonical system and the optical quantities of the two‐level system are calculated for one of the potentials. Some of the numerical results are shown, too. Copyright © 2016 John Wiley & Sons, Ltd.

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The relativistic bound states of a non-central potential

2017

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We investigate the relativistic effects of a moving particle in the field of a pseudoharmonic oscillatory ring-shaped potential under the spin and pseudo-spin symmetric Dirac wave equation. We obtain the bound state energy eigenvalue equation and the corresponding two-components spinor wave functions by using the formalism of suppersymmetric quantum mechanics (SUSYQM). Furthermore, the non-relativistic limits are obtained by simply making a proper replacement of parameters. The thermodynamic properties are shortly studied. Our numerical results for the energy eigenvalues are presented too.

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Six-Parameter Exponential-Type Potential and the Identity for the Exponential-Type Potentials

Cited by 13 publications

References 21 publications

Theoretical Study of the Exciton Binding Energy and Exciton Absorption in Different Hyperbolic-Type Quantum Wells under Applied Electric, Magnetic, and Intense Laser Fields

Theoretical Study of the Exciton Binding Energy and Exciton Absorption in Different Hyperbolic-Type Quantum Wells under Applied Electric, Magnetic, and Intense Laser Fields

Non‐relativistic Eigen spectra with q‐deformed physical potentials by using the SUSY approach

The relativistic bound states of a non-central potential

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