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Colloquia
Colloquium
Friday, April 23, 2004
4:00 PM
Physics Building, Room 204
Note special time.

Elliott Lieb
[Host: E. Kolomeisky]
Princeton University
"The Dilute, Cold Bose Gas: A truly quantummechanical manybody problem"

ABSTRACT:
The peculiar quantummechanical properties of the ground states of Bose
gases that were predicted in the early days of quantummechanics 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,
JP. 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
GrossPitaevskii description in traps, BoseEinstein condensation and
superfluidity in traps, and the transition from 3dimensional behavior
to 1dimensional behavior as the crosssection of the trap decreases. The
latter is a highly quantummechanical phenomenon.
For the charged Bose gas at high density, the leading term in the energy
found by Foldy in 1961 for the onecomponent gas and Dyson's conjecture
of the N^{7/5} law for the twocomponent gas has also been verified. These
results help justify Bogolubov's 1947 theory of pairing in Bose gases. 



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