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Bose-Einstein condensation and number theory

  • Klaus Kirsten (Baylor University, Waco, USA + MPI MiS, Leipzig)
A3 01 (Sophus-Lie room)

Abstract

The canonical and microcanonical ensemble approach to BEC is very closely related to general partitioning problems of number theory. First this relationship is explained in detail. Then techniques from analytical number theory are used to evaluate ground state occupation numbers and condensate fluctuations of Bose gases in external traps.

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail