Thomas-Fermi approximation for Bose-Einstein condensates in traps

Thomas-Fermi theory for Bose condesates in inhomogeneous traps is revisited. The phase-space distribution function in the Thomas-Fermi limit is $f_0(\bold{R},\bold{p})$ $\alpha$ $\delta(\mu - H_{cl})$ where $H_{cl}$ is the classical counterpart of the self-consistent Gross-Pitaevskii Hamiltonian. No...

Full description

Bibliographic Details
Authors: Schuck, Peter; Viñas Gausí, Xavier
Format: Article
Status:Published version
Publication date:2000
Country:España
Institution:Universidad de Barcelona
Repository:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/9556
Online Access:https://hdl.handle.net/2445/9556
Access Level:Open access
Keyword:Teoria quàntica
Condensació de Bose-Einstein
Excitació nuclear
Quantum theory
Bose-Einstein condensation
Nuclear excitation
Description
Summary:Thomas-Fermi theory for Bose condesates in inhomogeneous traps is revisited. The phase-space distribution function in the Thomas-Fermi limit is $f_0(\bold{R},\bold{p})$ $\alpha$ $\delta(\mu - H_{cl})$ where $H_{cl}$ is the classical counterpart of the self-consistent Gross-Pitaevskii Hamiltonian. No assumption on the large N-limit is introduced and, e.g the kinetic energy is found to be in good agreement with the quantal results even for low and intermediate particle numbers N. The attractive case yields conclusive results as well.