Electric field effect on the refractive index changes in a Modified-Pöschl-Teller quantum well

Ünal, Vildan Üstoğlu; Akşahin, E.; Aytekin, O.

doi:10.1016/j.physe.2012.10.018

Cited by 25 publications

(5 citation statements)

References 27 publications

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“…[30][31][32][33][34] For further study we cite Refs. [35] and [36]. In addition, it is found to be more interesting that nearly all desired analytic solutions of the nonrelativistic equation have been expressed in terms of hypergeometric functions.…”

Section: Introductionmentioning

confidence: 99%

Energy states of the Hulthen plus Coulomb-like potential with position-dependent mass function in external magnetic fields

2018

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We need to solve a suitable exponential form of the position-dependent mass (PDM) Schrödinger equation with a charged particle placed in the Hulthen plus Coulomb-like potential field and under the influence of the external magnetic and Aharonov-Bohm (AB) flux fields. The bound state energies and their corresponding wave functions are calculated for spatiallydependent mass distribution function of a physical interest. A few plots of some numerical results to the energy are shown.

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Section: Introductionmentioning

confidence: 99%

Energy states of the Hulthen plus Coulomb-like potential with position-dependent mass function in external magnetic fields

2018

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“…6 Unal et al have investigated electric field effects the refractive index changes in a modified Poschl-Teller quantum well. 77 However, to the best of our knowledge, we report the solution of the Schrödinger equation for a particle with a spatially dependent mass in the potential field under the influence of external magnetic and Aharonov-Bohm (AB) flux fields. In fact, we find that obtaining these solutions for the Schrödinger equation with these conditions would be very useful for some of the physical systems.…”

Section: Introductionmentioning

confidence: 99%

Schrödinger equation based analytic assessment of thermal properties of confined electrons under vector and scalar fields

Eshghi

Azar

Soudi

2021

Math Methods in App Sciences

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In this research, we have extracted the covariant form of the Schrödinger equation in the Riemannian manifold 0.25emscriptM0.25em= ℝ3 with a position‐dependent mass (PDM) distribution in the presence of magnetic fields for each point p∈scriptM. Then, we have solved the extracted nonrelativistic equation for a charged particle with a PDM in quantum system under the magnetic and Aharonov–Bohm (AB) flux fields and Yukawa‐like potential using the Frobenius series method. It is interesting that the obtained analytical solutions of the nonrelativistic equation have been expressed in terms of the biconfluent Heun function (BHF). Then, we have expanded the BHF as the power series and obtained a three‐term recurrence relation between the successive coefficients of the power expansion. To investigate the nontrivial solution of the power expansion, we need to apply an explicit continued fraction equation for the coefficients of the recurrence relation. This relation must be satisfied in order to assure the series convergence. At the continuation, we have found two different conditions using the submitted lemmas. Then, using the obtained conditions, we have calculated the eigenvalues and eigenfunctions of the particle in the arbitrary point of the manifold. Finally, the canonical formalism is applied to compute different thermodynamic variables for the case of the higher temperatures. Also, we have discussed the special states on the obtained results.

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“…The description of electron states in QDs aligned with the direction of growth corresponds to the envelope function approximation, whose extension matches well with the width of the potential applied. Therefore, a number of researchers have taken interest in the nonlinear optical properties of QDs under the influence of several potentials with different potential shapes such as Coulomb, Rosen-Morse, Pöschl-Teller, Tietz-Hua, Woods-Saxon, Gaussian, Ellipsoidal and other potentials [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31]. As the orbital wave functions of QDs are spatially extended they are susceptible to be influenced by external fields.…”

Section: Introductionmentioning

confidence: 99%

Electron-related nonlinear optical properties of cylindrical quantum dot with the Rosen–Morse axial potential

Ungan

Bahar

Pal³

2020

Commun. Theor. Phys.

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We present a theoretical study on the effects of intense laser field (ILF) and static electric field on the linear and nonlinear optical properties of a cylindrical quantum dot with Rosen–Morse axial potential under the framework of effective mass and parabolic band approximations. This study also takes into account the effects of the structure parameters (η, V1, and R). The analytical expressions of the linear, third-order nonlinear and total optical absorption coefficients (TOACs) and the relative refractive index changes (RRICs) are obtained by using the compact-density-matrix approach. The results of numerical calculations show that the resonant peak position of the TOACs and RRICs shifts towards lower energies and the magnitude of the peak increases with the effect of the static electric field and ILF. In addition, it is observed that while the resonant energies of the TOACs and RRICs of system shift towards the higher (lower) energies with the enhancement of η, V1, they decrease with the augmentation of R. Thus, the findings of this study show that the optical properties of the structure can be adjusted by changing the magnitude of structure parameters and applied external fields.

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Electric field effect on the refractive index changes in a Modified-Pöschl-Teller quantum well

Cited by 25 publications

References 27 publications

Energy states of the Hulthen plus Coulomb-like potential with position-dependent mass function in external magnetic fields

Energy states of the Hulthen plus Coulomb-like potential with position-dependent mass function in external magnetic fields

Schrödinger equation based analytic assessment of thermal properties of confined electrons under vector and scalar fields

Electron-related nonlinear optical properties of cylindrical quantum dot with the Rosen–Morse axial potential

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