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Semiclassical Analysis of Super-Shell Structure in Trapped Fermi Gases

Ögren, Magnus LU (2008)
Abstract
This dissertation investigates the oscillation part of the level density for trapped fermions. Analytical so-called trace formulae have been known for the two theoretically important potentials, the spherical cavity and harmonic oscillator, since more than thirty years. In this thesis we explore the regime in between those two limits, motivated by recent experiments with cold atomic Fermi gases. With semiclassical periodic orbit theory we analyze in particular the three-dimensional spherical system of a quartic perturbed harmonic oscillator. Super-shell structures are found and explained in terms of two classical periodic orbits, the diameter and the circle. This result is remarkable as the geometric degeneracies of those orbits are lower... (More)
This dissertation investigates the oscillation part of the level density for trapped fermions. Analytical so-called trace formulae have been known for the two theoretically important potentials, the spherical cavity and harmonic oscillator, since more than thirty years. In this thesis we explore the regime in between those two limits, motivated by recent experiments with cold atomic Fermi gases. With semiclassical periodic orbit theory we analyze in particular the three-dimensional spherical system of a quartic perturbed harmonic oscillator. Super-shell structures are found and explained in terms of two classical periodic orbits, the diameter and the circle. This result is remarkable as the geometric degeneracies of those orbits are lower than those of the more common (star-like) type of orbits. (Less)
Please use this url to cite or link to this publication:
author
supervisor
opponent
  • Dr Leboeuf, Patricio, Laboratoire de Physique Theorique et Modeles Statistiques
organization
publishing date
type
Thesis
publication status
published
subject
keywords
Fysicumarkivet A:2008:Ögren
publisher
Department of Physics, Lund University
defense location
Lecture hall F, Fysicum, Sölvegatan 14A, Lund university, Faculty of Engineering
defense date
2008-10-24 13:30
ISBN
978-91-628-7541-1
language
English
LU publication?
yes
id
3e269129-119e-4613-99ee-74bc7f7fb5e3 (old id 1242068)
date added to LUP
2008-09-29 12:46:21
date last changed
2016-09-19 08:45:07
@phdthesis{3e269129-119e-4613-99ee-74bc7f7fb5e3,
  abstract     = {This dissertation investigates the oscillation part of the level density for trapped fermions. Analytical so-called trace formulae have been known for the two theoretically important potentials, the spherical cavity and harmonic oscillator, since more than thirty years. In this thesis we explore the regime in between those two limits, motivated by recent experiments with cold atomic Fermi gases. With semiclassical periodic orbit theory we analyze in particular the three-dimensional spherical system of a quartic perturbed harmonic oscillator. Super-shell structures are found and explained in terms of two classical periodic orbits, the diameter and the circle. This result is remarkable as the geometric degeneracies of those orbits are lower than those of the more common (star-like) type of orbits.},
  author       = {Ögren, Magnus},
  isbn         = {978-91-628-7541-1},
  keyword      = {Fysicumarkivet A:2008:Ögren},
  language     = {eng},
  publisher    = {Department of Physics, Lund University},
  school       = {Lund University},
  title        = {Semiclassical Analysis of Super-Shell Structure in Trapped Fermi Gases},
  year         = {2008},
}