Degenerate Quantum Gases and Bose-Einstein Condensation

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After a brief historical introduction to Bose-Einstein condensation and Fermi degeneracy, we discuss theoretical results we have recentely obtained for trapped degenerate quantum gases by means of a thermal field theory approach. In particular, by using Gross-Pitaevskii and Bogoliubov-Popov equations, we consider thermodynamical properties of two Bosonic systems: a gas of Lithium atoms and a gas of Hydrogen atoms. Finally, we investigate finite-temperature density profiles of a dilute Fermi gas of Potassium atoms confined in a harmonic potential.
22 pages, 8 figures, invited talk to the International Conference 'Bexbach Colloquium on Science', Bexbach (Germany), October 27-30 2000, to be published in the Proceedings, Eds. Y. Aizawa, G. Casati, M. Robnik and A. Ruffing (Edition Shaker, Aachen, 2001)

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