Numerical study of quantum hydrodynamic model for semiconductors

This paper presents a numerical study of the one-dimensional quantum hydrodynamic equations, introducing the quantum hydrodynamic model (QHD) for semiconductors. In the case of QHD, numerical solution of the Schrödinger equation must present higher oscillations as the scaled Planck constant ε...

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Main Authors:	Chiritoiu, V., Zaharie, I., Negrea, R., Caruntu, B.
Format:	article
Language:	EN
Published:	D.Ghitu Institute of Electronic Engineering and Nanotechnologies 2008
Subjects:	Physics QC1-999 Electronics TK7800-8360
Online Access:	https://doaj.org/article/48d5d6af11ff4cc8b49c36db3fbb1b43
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spelling	oai:doaj.org-article:48d5d6af11ff4cc8b49c36db3fbb1b432021-11-21T12:07:03ZNumerical study of quantum hydrodynamic model for semiconductors2537-63651810-648Xhttps://doaj.org/article/48d5d6af11ff4cc8b49c36db3fbb1b432008-04-01T00:00:00Zhttps://mjps.nanotech.md/archive/2008/article/3798https://doaj.org/toc/1810-648Xhttps://doaj.org/toc/2537-6365This paper presents a numerical study of the one-dimensional quantum hydrodynamic equations, introducing the quantum hydrodynamic model (QHD) for semiconductors. In the case of QHD, numerical solution of the Schrödinger equation must present higher oscillations as the scaled Planck constant ε becomes smaller ( 2 3 10 10 ~ − − ÷ ε ). The numerical studies for general case and for particular isothermal, stationary case are given. Finally, we present different graphical solutions for particle and current densities, in both cases and for different values ofε . Graphical representations allow observing an increasing amplitude of solution oscillations of particle and current densities as ε becomes smaller. For the stationary case one can see that current density remains constant irrespective ofε choice. Chiritoiu, V.Zaharie, I.Negrea, R.Caruntu, B.D.Ghitu Institute of Electronic Engineering and NanotechnologiesarticlePhysicsQC1-999ElectronicsTK7800-8360ENMoldavian Journal of the Physical Sciences, Vol 7, Iss 2, Pp 168-173 (2008)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999 Electronics TK7800-8360
spellingShingle	Physics QC1-999 Electronics TK7800-8360 Chiritoiu, V. Zaharie, I. Negrea, R. Caruntu, B. Numerical study of quantum hydrodynamic model for semiconductors
description	This paper presents a numerical study of the one-dimensional quantum hydrodynamic equations, introducing the quantum hydrodynamic model (QHD) for semiconductors. In the case of QHD, numerical solution of the Schrödinger equation must present higher oscillations as the scaled Planck constant ε becomes smaller ( 2 3 10 10 ~ − − ÷ ε ). The numerical studies for general case and for particular isothermal, stationary case are given. Finally, we present different graphical solutions for particle and current densities, in both cases and for different values ofε . Graphical representations allow observing an increasing amplitude of solution oscillations of particle and current densities as ε becomes smaller. For the stationary case one can see that current density remains constant irrespective ofε choice.
format	article
author	Chiritoiu, V. Zaharie, I. Negrea, R. Caruntu, B.
author_facet	Chiritoiu, V. Zaharie, I. Negrea, R. Caruntu, B.
author_sort	Chiritoiu, V.
title	Numerical study of quantum hydrodynamic model for semiconductors
title_short	Numerical study of quantum hydrodynamic model for semiconductors
title_full	Numerical study of quantum hydrodynamic model for semiconductors
title_fullStr	Numerical study of quantum hydrodynamic model for semiconductors
title_full_unstemmed	Numerical study of quantum hydrodynamic model for semiconductors
title_sort	numerical study of quantum hydrodynamic model for semiconductors
publisher	D.Ghitu Institute of Electronic Engineering and Nanotechnologies
publishDate	2008
url	https://doaj.org/article/48d5d6af11ff4cc8b49c36db3fbb1b43
work_keys_str_mv	AT chiritoiuv numericalstudyofquantumhydrodynamicmodelforsemiconductors AT zahariei numericalstudyofquantumhydrodynamicmodelforsemiconductors AT negrear numericalstudyofquantumhydrodynamicmodelforsemiconductors AT caruntub numericalstudyofquantumhydrodynamicmodelforsemiconductors
_version_	1718419182621556736

Numerical study of quantum hydrodynamic model for semiconductors

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