Optical properties of two-dimensional two-electron quantum dot in parabolic confinement

The Hamiltonian and wavefunctions of two-dimensional two-electron quantum dots (2D2eQD) in parabolic confinement are determined. The ground and excited state energies are calculated solving the Schrödinger equation analytically and numerically. To determine the energy eigen-value of the system varia...

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Autor principal:	Woldemariam Menberu Mengesha
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	2d2eqd parabolic confinement optical properties Physics QC1-999
Acceso en línea:	https://doaj.org/article/7b1d584af3de4eac837c645547de7636
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spelling	oai:doaj.org-article:7b1d584af3de4eac837c645547de76362021-12-05T14:11:02ZOptical properties of two-dimensional two-electron quantum dot in parabolic confinement2391-547110.1515/phys-2021-0067https://doaj.org/article/7b1d584af3de4eac837c645547de76362021-10-01T00:00:00Zhttps://doi.org/10.1515/phys-2021-0067https://doaj.org/toc/2391-5471The Hamiltonian and wavefunctions of two-dimensional two-electron quantum dots (2D2eQD) in parabolic confinement are determined. The ground and excited state energies are calculated solving the Schrödinger equation analytically and numerically. To determine the energy eigen-value of the system variational method is employed due to the large coupling constant λ≈1.1\lambda \approx 1.1. The trial wavefunctions are developed for both ground and excited states. The ground state wave function is a para state and the excited state wavefunctions belong to both para and ortho states based on the symmetry and antisymmetry of spatial wavefunctions. Using the obtained energy eigen-values at the two states, the first- and third-order nonlinear absorption coefficient and refractive index are analytically obtained with the help of density matrix formalism and iterative procedure.Woldemariam Menberu MengeshaDe Gruyterarticle2d2eqdparabolic confinementoptical propertiesPhysicsQC1-999ENOpen Physics, Vol 19, Iss 1, Pp 551-558 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	2d2eqd parabolic confinement optical properties Physics QC1-999
spellingShingle	2d2eqd parabolic confinement optical properties Physics QC1-999 Woldemariam Menberu Mengesha Optical properties of two-dimensional two-electron quantum dot in parabolic confinement
description	The Hamiltonian and wavefunctions of two-dimensional two-electron quantum dots (2D2eQD) in parabolic confinement are determined. The ground and excited state energies are calculated solving the Schrödinger equation analytically and numerically. To determine the energy eigen-value of the system variational method is employed due to the large coupling constant λ≈1.1\lambda \approx 1.1. The trial wavefunctions are developed for both ground and excited states. The ground state wave function is a para state and the excited state wavefunctions belong to both para and ortho states based on the symmetry and antisymmetry of spatial wavefunctions. Using the obtained energy eigen-values at the two states, the first- and third-order nonlinear absorption coefficient and refractive index are analytically obtained with the help of density matrix formalism and iterative procedure.
format	article
author	Woldemariam Menberu Mengesha
author_facet	Woldemariam Menberu Mengesha
author_sort	Woldemariam Menberu Mengesha
title	Optical properties of two-dimensional two-electron quantum dot in parabolic confinement
title_short	Optical properties of two-dimensional two-electron quantum dot in parabolic confinement
title_full	Optical properties of two-dimensional two-electron quantum dot in parabolic confinement
title_fullStr	Optical properties of two-dimensional two-electron quantum dot in parabolic confinement
title_full_unstemmed	Optical properties of two-dimensional two-electron quantum dot in parabolic confinement
title_sort	optical properties of two-dimensional two-electron quantum dot in parabolic confinement
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/7b1d584af3de4eac837c645547de7636
work_keys_str_mv	AT woldemariammenberumengesha opticalpropertiesoftwodimensionaltwoelectronquantumdotinparabolicconfinement
_version_	1718371481938821120

Optical properties of two-dimensional two-electron quantum dot in parabolic confinement

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