Regensburg 1998 – wissenschaftliches Programm

Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe

MP: Theoretische und Mathematische Grundlagen der Physik

MP 4: Hauptvorträge IV

MP 4.2: Hauptvortrag

Freitag, 27. März 1998, 10:15–11:00, H46

The ground state of the low density Bose gas — •Elliott H. Lieb — Princeton University, USA

Now that the properties of low temperature Bose gases at low density, ρ, can be examined experimentally it is appropriate to revisit some of the formulas deduced by many authors 4-5 decades ago. One of these is that the leading term in the energy/particle is 2π ℏ² ρ a/m, where a is the scattering length. Owing to the delicate and peculiar nature of bosonic correlations, four decades of research had failed to establish this plausible formula rigorously. The only previous lower bound for the energy was found by Dyson in 1957, but it was 14 times too small. The correct asymptotic formula has very recently been obtained jointly with J. Yngvason and this work will be presented here. Another problem of great interest is the existence of Bose-Einstein condensation, and what little is known about this rigorously will also be discussed.