Studies in the Wigner-Poisson and Schroedinger-Poisson Systems

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dc.contributor.authorToomire, Bruce V.en
dc.contributor.committeechairZweifel, Paul F.en
dc.contributor.committeememberFicenec, John R.en
dc.contributor.committeememberHagedorn, George A.en
dc.contributor.committeememberSlawny, Josephen
dc.contributor.committeememberKlaus, Martinen
dc.contributor.committeememberChang, Lay Namen
dc.contributor.departmentPhysicsen
dc.date.accessioned2014-03-14T20:17:58Zen
dc.date.adate1998-05-11en
dc.date.available2014-03-14T20:17:58Zen
dc.date.issued1998-10-21en
dc.date.rdate1999-05-11en
dc.date.sdate1998-12-04en
dc.description.abstractThe 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.en
dc.description.degreePh. D.en
dc.identifier.otheretd-110498-165301en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-110498-165301/en
dc.identifier.urihttp://hdl.handle.net/10919/29464en
dc.publisherVirginia Techen
dc.relation.haspartetd.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectWigner-Poisson Schroedinger-Poisson Quantum Transpen
dc.titleStudies in the Wigner-Poisson and Schroedinger-Poisson Systemsen
dc.typeDissertationen
thesis.degree.disciplinePhysicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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