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This chapter of the book focuses on the theoretical study of linear and nonlinear optical properties of a spherical semiconductor quantum dot (QD)Quantumdots|(. The quantum confinement for electrons in the dot is approximated using an inversely quadratic Hellmann (IQH) potentialInversely quadratic Hellmann potential|( within the effective-mass approximation. The eigenenergies and corresponding eigenfunctions of the radial Schrödinger equation are calculated employing the parametric Nikiforov-Uvarov (NU) method. The optical properties of the two-level QD system, namely the optical absorption coefficientOptical absorption coefficient and refractive index changesRefractive indexchanges, are discussed. The proposed setup could be further utilized to boost the development of novel QD-based optoelectronic devices.

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Optical Properties of Spherical Quantum Dots: Application of the Inversely Quadratic Hellmann Potential

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  • 发表日期：

    2025年

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  • Levente Máthé

摘要

This chapter of the book focuses on the theoretical study of linear and nonlinear optical properties of a spherical semiconductor quantum dot (QD)Quantumdots|(. The quantum confinement for electrons in the dot is approximated using an inversely quadratic Hellmann (IQH) potentialInversely quadratic Hellmann potential|( within the effective-mass approximation. The eigenenergies and corresponding eigenfunctions of the radial Schrödinger equation are calculated employing the parametric Nikiforov-Uvarov (NU) method. The optical properties of the two-level QD system, namely the optical absorption coefficientOptical absorption coefficient and refractive index changesRefractive indexchanges, are discussed. The proposed setup could be further utilized to boost the development of novel QD-based optoelectronic devices.