München 2004 – scientific programme

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Q: Quantenoptik und Photonik

Q 38: Poster Fallen und Kühlung

Q 38.4: Poster

Thursday, March 25, 2004, 14:00–16:00, Schellingstr. 3

Improved upper bound on the ground-state energy of a homogeneous Bose-Einstein condensate — •Christoph Weiss and André Eckardt — Institut für Physik, Universität Oldenburg, D- 26129 Oldenburg, Germany

The standard calculations of the ground-state energy of a homogeneous Bose-Einstein condensate rely on certain approximations which appear physically reasonable, but are difficult to control. Therefore, mathematically rigorous bounds on the ground-state energy are of particular importance. The derivation of such bound was pioneered by Dyson already in 1957 [1]. While his lower bound could recently be increased by a factor of 14 by Lieb and Yngvason [2], his upper bound [1] has remained essentially unchanged. Here, an improved, rigorous upper bound on the ground-state energy is established.

[1] F.J. Dyson, Phys. Rev. 106, 20 (1957).

[2] E.H. Lieb and J. Yngvason, Phys. Rev. Lett. 80, 2504 (1998).