In this study, for the first time, the velocity‐dependent potential (VDP) effects on the total refractive index changes (TRICs) and the total absorption coefficients (TACs) of the parabolic quantum dot with spherical confinement, generated by GaAs/GaAlAs heterostructure, are comprehensively investigated. In order to obtain the subband energy spectra and the electronic wave function of the quantum dot system, the wave equation is numerically solved due to the VDP's complexity by using Runge‐Kutta‐Fehlberg method within the effective mass approximation. The nonlinear optical specifications of the quantum dot with velocity‐dependent potential (QDVDP) are analyzed using the compact density matrix formalism within the framework of the iterative method. To investigate the optical specifications of QDVDP, the isotropic form factor of VDP is taken into consideration as the harmonic oscillator type, F(r) = γρ₀r² (being γ and ρ₀ are constants). Optical analysis is also executed for parabolic encompassing under the influence of VDP, as well as VDP, analyzing for TRICs and TACs of QDVDP, for which the result is quite a change compared to cases without VDP due to the symmetry‐breaking repercussion on system confinement of VDP. The main motivation of the present study is to clearly distinguish VDP effects on optical properties of the quantum dot, carrying out an analysis on optimal range and alternative parameter for optical properties.

中文翻译：

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速度依赖势的量子点的光学分析

在这项研究中，GaAs / GaAlAs异质结构产生的速度依赖性势（VDP）首次影响了球形受限抛物线量子点的总折射率变化（TRICs）和总吸收系数（TACs） ，进行了全面调查。为了获得子带的能谱和量子点系统的电子波函数，在有效质量近似内，使用Runge-Kutta-Fehlberg方法，由于VDP的复杂性，对波动方程进行了数值求解。在迭代方法的框架内，使用紧凑的密度矩阵形式主义来分析具有速度依赖势（QDVDP）的量子点的非线性光学规格。要研究QDVDP的光学规格，˚F（[R）= γρ ₀ - [R ²（即γ和ρ ₀是常数）。在VDP以及VDP的影响下，还对抛物线包围进行了光学分析，对QDVDP的TRIC和TAC进行了分析，与没有VDP的情况相比，由于对系统限制的对称性破坏而产生的结果与之相比有了很大的变化。 VDP。本研究的主要动机是清楚地区分VDP对量子点光学特性的影响，对光学特性的最佳范围和替代参数进行分析。