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: | , , , |
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| Format: | article |
| Language: | EN |
| Published: |
D.Ghitu Institute of Electronic Engineering and Nanotechnologies
2008
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| Subjects: | |
| Online Access: | https://doaj.org/article/48d5d6af11ff4cc8b49c36db3fbb1b43 |
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| 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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