Displaying similar documents to “Wigner series and (semi)classical limits with periodic potentials”

On the current of large atoms in strong magnetic fields

Søren Fournais (2000)

Journées équations aux dérivées partielles

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In this talk I will discuss recent results on the magnetisation/current of large atoms in strong magnetic fields. It is known from the work (E. Lieb, J.P. Solovej, and J. Yngvason, “Asymptotics of heavy atoms in high magnetic fields: II. Semiclassical regions”, Commun. Math. Phys. (1994), no. 161, 77-124) of Lieb, Solovej and Yngvason that the energy and density of atoms in strong magnetic fields are given to highest order by a Magnetic Thomas Fermi theory (MTF-theory) when the magnetic...

Fast rotating Bose-Einstein condensates and Bargmann transform

Xavier Blanc (2005-2006)

Séminaire Équations aux dérivées partielles

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When a Bose-Einstein condensate (BEC) is rotated sufficiently fast, it nucleates vortices. The system is only stable if the rotational velocity Ω is lower than a critical value Ω c . Experiments show that as Ω approaches Ω c , the condensate nucleates more and more vortices, which become periodically arranged. We present here a mathematical study of this limit. Using Bargmann transform and an analogy with semi-classical analysis in second quantization, we prove that the system necessarily...