Science-advisor
REGISTER info/FAQ
Login
username
password
     
forgot password?
register here
 
Research articles
  search articles
  reviews guidelines
  reviews
  articles index
My Pages
my alerts
  my messages
  my reviews
  my favorites
 
 
Stat
Members: 3643
Articles: 2'487'895
Articles rated: 2609

29 March 2024
 
  » arxiv » cond-mat/9606016

 Article overview


Excited states of a static dilute spherical Bose condensate in a trap
Alexander L. Fetter ;
Date 4 Jun 1996
Subject cond-mat atom-ph
AffiliationPhysics Department, Stanford University
AbstractThe Bogoliubov approximation is used to study the excited states of a dilute gas of $N$ atomic bosons trapped in an isotropic harmonic potential characterized by a frequency $omega_0$ and an oscillator length $d_0 = sqrt{hbar/momega_0}$. The self-consistent static Bose condensate has macroscopic occupation number $N_0 gg 1$, with nonuniform spherical condensate density $n_0(r)$; by assumption, the depletion of the condensate is small ($N’ equiv N - N_0ll N_0$). The linearized density fluctuation operator $hat ho’$ and velocity potential operator $hatPhi’$ satisfy coupled equations that embody particle conservation and Bernoulli’s theorem. For each angular momentum $l$, introduction of quasiparticle operators yields coupled eigenvalue equations for the excited states; they can be expressed either in terms of Bogoliubov coherence amplitudes $u_l(r)$ and $v_l(r)$ that determine the appropriate linear combinations of particle operators, or in terms of hydrodynamic amplitudes $ ho_l’(r)$ and $Phi_l’(r)$. The hydrodynamic picture suggests a simple variational approximation for $l >0$ that provides an upper bound for the lowest eigenvalue $omega_l$ and an estimate for the corresponding zero-temperature occupation number $N_l’$; both expressions closely resemble those for a uniform bulk Bose condensate.
Source arXiv, cond-mat/9606016
Services Forum | Review | PDF | Favorites   
 
Visitor rating: did you like this article? no 1   2   3   4   5   yes

No review found.
 Did you like this article?

This article or document is ...
important:
of broad interest:
readable:
new:
correct:
Global appreciation:

  Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.

browser claudebot






ScienXe.org
» my Online CV
» Free


News, job offers and information for researchers and scientists:
home  |  contact  |  terms of use  |  sitemap
Copyright © 2005-2024 - Scimetrica