1998/11/26 by Alexander L. Fetter, Fetter, Alexander L.
Physics and Astronomy · #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/9811366
RevTex, 41 pages, 8 postscript figures, four lectures from International School of Physics "Enrico Fermi" on Bose-Einstein Condensation in Atomic Gases, Varenna, July, 1998
arxiv created 1998/11/26 · arxiv updated 2009/11/30
This set of four lectures reviews various aspects of the theory of a dilute low-temperature trapped Bose gas, starting with (I) a review of the Bogoliubov description of the elementary excitations in a uniform system. The treatment is then generalized (II) to include the new physical effects of a confining harmonic trap potential on the condensate and its normal modes. An equivalent hydrodynamic description (III) focuses directly on the density and velocity fluctuations. The physics of vortices (IV) in an incompressible fluid is summarized and extended to the case of a trapped Bose condensate.