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SM ISO690:2012 CHIRITOIU, Viorel, 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. |
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Moldavian Journal of the Physical Sciences | ||||||
Numărul 2(7) / 2008 / ISSN 1810-648X /ISSNe 2537-6365 | ||||||
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Pag. 168-173 | ||||||
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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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<meta name="citation_title" content="Numerical study of quantum hydrodynamic model for semiconductors"> <meta name="citation_author" content="Chiritoiu Viorel"> <meta name="citation_author" content="Zaharie I."> <meta name="citation_author" content="Negrea R."> <meta name="citation_author" content="Caruntu B."> <meta name="citation_publication_date" content="2008/04/05"> <meta name="citation_journal_title" content="Moldavian Journal of the Physical Sciences"> <meta name="citation_volume" content="7"> <meta name="citation_issue" content="2"> <meta name="citation_firstpage" content="168"> <meta name="citation_lastpage" content="173"> <meta name="citation_pdf_url" content="https://ibn.idsi.md/sites/default/files/imag_file/Numerical%20study%20of%20quantum%20hydrodynamic%20model%20for%20semiconductors_0.pdf">