Archive: 2008 - Moldavian Journal of the Physical Sciences

05 Apr 2008

2008
V. 7
2
(p.168 - 173)

Numerical study of quantum hydrodynamic model for semiconductors

Authors:

Chiritoiu, V.; Zaharie, I.; Negrea, R.; Caruntu, B.

Summary:

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.

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 10 10 ~ − −
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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 
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BibTeX

@article{ibn_3798,
author = {Chiritoiu, V. and Zaharie, I. and Negrea, R. and Caruntu, B.},
title = {Numerical study of quantum hydrodynamic model for semiconductors},
journal = {Moldavian Journal of the Physical Sciences},
year = {2008},
volume = {7 (2)},
pages = {168-173},
month = {Apr},
abstract = {(EN) 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.  
},
url = {https://ibn.idsi.md/vizualizare_articol/3798},
}

DataCite

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 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 
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Dublin Core

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<dc:creator>Chiritoiu, V.</dc:creator>
<dc:creator>Zaharie, I.</dc:creator>
<dc:creator>Negrea, R.</dc:creator>
<dc:creator>Caruntu, B.</dc:creator>
<dc:date>2008-04-05</dc:date>
<dc:description xml:lang='en'>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.  
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<dc:source>Moldavian Journal of the Physical Sciences 7 (2) 168-173</dc:source>
<dc:title>Numerical study of quantum hydrodynamic model for semiconductors</dc:title>
<dc:type>info:eu-repo/semantics/article</dc:type>
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“ ... ”

SM ISO690:2012

CHIRITOIU, V.; ZAHARIE, I.; NEGREA, R.; CARUNTU, B.. Numerical study of quantum hydrodynamic model for semiconductors. In: Moldavian Journal of the Physical Sciences. 2008, nr. 2(7), pp. 168-173. ISSN 1810-648X.