Condensed matter physics with trapped atomic Fermi gases

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We present an overview of the various phase transitions that we anticipate to occur in trapped fermionic alkali gases. We also discuss the prospects of observing these transitions in (doubly) spin-polarized Li-6 and K-40 gases, which are now actively being studied by various experimental groups around the world.
18 pages of LaTeX and 2 postscript figures. Contribution to the international summer school `Enrico Fermi' on Bose-Einstein condensation in atomic gases, Varenna 1998

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