Semiclassical Analysis of SuperShell Structure in Trapped Fermi Gases
(2008) Abstract
 This dissertation investigates the oscillation part of the level density for trapped fermions. Analytical socalled 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 threedimensional spherical system of a quartic perturbed harmonic oscillator. Supershell 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 socalled 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 threedimensional spherical system of a quartic perturbed harmonic oscillator. Supershell 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 (starlike) type of orbits. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1242068
 author
 Ögren, Magnus ^{LU}
 supervisor

 Stephanie Reimann ^{LU}
 opponent

 Dr Leboeuf, Patricio, Laboratoire de Physique Theorique et Modeles Statistiques
 organization
 publishing date
 2008
 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
 20081024 13:30:00
 ISBN
 9789162875411
 language
 English
 LU publication?
 yes
 additional info
 The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)
 id
 3e269129119e461399ee74bc7f7fb5e3 (old id 1242068)
 date added to LUP
 20160404 10:59:59
 date last changed
 20181121 21:02:02
@phdthesis{3e269129119e461399ee74bc7f7fb5e3, abstract = {{This dissertation investigates the oscillation part of the level density for trapped fermions. Analytical socalled 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 threedimensional spherical system of a quartic perturbed harmonic oscillator. Supershell 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 (starlike) type of orbits.}}, author = {{Ögren, Magnus}}, isbn = {{9789162875411}}, keywords = {{Fysicumarkivet A:2008:Ögren}}, language = {{eng}}, publisher = {{Department of Physics, Lund University}}, school = {{Lund University}}, title = {{Semiclassical Analysis of SuperShell Structure in Trapped Fermi Gases}}, year = {{2008}}, }