| Type of Document |
Dissertation |
| Author |
Toomire, Bruce Vincent
|
| Author's Email Address |
bvt@austin.rr.com |
| URN |
etd-110498-165301 |
| Title |
Studies in the Wigner-Poisson and Schroedinger-Poisson Systems |
| Degree |
PhD |
| Department |
Physics |
| Advisory Committee |
| Advisor Name |
Title |
| Zweifel, Paul F. |
Committee Chair |
| Chang, Lay Nam |
Committee Member |
| Ficenec, John R. |
Committee Member |
| Hagedorn, George A. |
Committee Member |
| Klaus, Martin |
Committee Member |
| Slawny, Joseph |
Committee Member |
|
| Keywords |
- Wigner-Poisson Schroedinger-Poisson Quantum Transp
|
| Date of Defense |
1998-10-21 |
| Availability |
unrestricted |
Abstract
The need to model the quantum effects in semiconductor devices such as resonance tunneling diodes and quantum dots has lead to an intense study of the Wigner-Poisson (WP) and Schroedinger-Poisson (SP) systems. In this work we present the mathematical analysis of several related models for these systems. These include: a time-dependent model of dissipation in (SP), a quasi-linear (SP) system, a study of the stationary (WP)-(SP) problem with a discussion of the quantum analogue of classical BGK modes and a proof of existence of eigenfunctions for (SP) with periodic boundary conditions, and an examination of the stationary Wigner equations with inflow" boundary conditions. Finally, a proposed numerical scheme for the stationary (SP) system with Boltzmann distribution functions is shown along with its corresponding Bloch equation.
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| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
|
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56K Modem |
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| |
etd.pdf |
583.34 Kb |
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