Many-body Dimensional Perturbation Theory for QuantumConfined Systems
Application to Bose-Einstein condensates and quantumnanostructures
(Sprache: Englisch)
Systems that involve N identical, interactingparticles under quantum confinementappear throughout many areas of physics, includingchemical, condensed matter, andatomic physics. In this thesis, we present themethods of dimensional perturbationtheory, a...
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Systems that involve N identical, interactingparticles under quantum confinementappear throughout many areas of physics, includingchemical, condensed matter, andatomic physics. In this thesis, we present themethods of dimensional perturbationtheory, a powerful set of tools that uses symmetry toyield simple results for studyingsuch many-body systems. We present a detaileddiscussion of the dimensional continuationof the N-particle Schrodinger equation, the D¿8equilibrium structure, andthe normal-mode oscillations of this structure. Weuse the Wilson FG matrix methodto derive general, analytical expressions for themany-body normal-mode vibrationalfrequencies, and we give analytical results for threeN-body quantum-confined systems:the N-electron atom, N-electron quantum dot, andN-atom inhomogeneousBose-Einstein condensate with a repulsive hard-corepotential.
Autoren-Porträt von Brett McKinney
McKinney BrettBrett McKinney received his Ph.D. in theoretical physics from theUniversity of Oklahoma in 2003. He is currently assistantprofessor of Genetics at the University of Alabama Birmingham,School of Medicine. His current research focus involves aspectsof computational biology and bioinformatics.
Bibliographische Angaben
- Autor: Brett McKinney
- 2008, 176 Seiten, Maße: 22 cm, Kartoniert (TB), Englisch
- Verlag: VDM Verlag Dr. Müller e.K.
- ISBN-10: 3639075188
- ISBN-13: 9783639075182
Sprache:
Englisch
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