Séminaire Orléans

Wigner crystallization in the quantum 1D jellium
Sabine Jansen (Bochum)
Thursday 13 February 2014 14:00 -  Orléans -  Salle de Séminaire

Résumé :
The jellium is a model, introduced by Wigner (1934), for a gas of electrons moving in a uniform neutralizing background of positive charge. Wigner suggested that the repulsion between electrons might lead to a broken translational symmetry. For classical one-dimensional systems this fact was proven by Kunz (1974), while in the quantum setting, Brascamp and Lieb (1975) proved translation symmetry breaking at low densities. Here, we prove translation symmetry breaking for the quantum one-dimensional jellium at all densities.

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