"The Dilute, Cold Bose Gas: A truly quantum-mechanical many-body problem"Elliott Lieb , Princeton University [Host: E. Kolomeisky]
ABSTRACT:
The peculiar quantum-mechanical properties of the ground states of Bose
gases that were predicted in the early days of quantum-mechanics have been
verified experimentally relatively recently. The mathematical derivation
of these properties from Schroedinger's equation have also been difficult,
but progress has been made in the last few years (with R. Seiringer,
J-P. Solovej and J. Yngvason) and this will be reviewed. For the low
density gas with finite range interactions these properties include
the leading order term in the ground state energy, the validity of the
Gross-Pitaevskii description in traps, Bose-Einstein condensation and
superfluidity in traps, and the transition from 3-dimensional behavior
to 1-dimensional behavior as the cross-section of the trap decreases. The
latter is a highly quantum-mechanical phenomenon.
For the charged Bose gas at high density, the leading term in the energy
found by Foldy in 1961 for the one-component gas and Dyson's conjecture
of the N^{7/5} law for the two-component gas has also been verified. These
results help justify Bogolubov's 1947 theory of pairing in Bose gases.
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Colloquium Friday, April 23, 2004 4:00 PM Physics Building, Room 204 Note special time. Note special room. |
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