A simple 2nd order lower bound to the energy of dilute Bose gases

Categoria: 
Seminari di Fisica Matematica
Data e ora inizio evento: 
Data e ora fine evento: 
Aula: 
Sala di Consiglio
Sede: 

Dipartimento di Matematica Guido Castelnuovo, Università Sapienza Roma

Speaker: 

Søren Fournais (Aarhus Universitet)

Abstract: We consider a system of non-relativistic bosons interacting through a regular, positive potential vv with scattering length aa. We give a simple proof that the ground state energy density satisfies the bound e(ρ)≥4πaρ2(1−C√ρa3)e(ρ)≥4πaρ2(1−Cρa3).
This talk is based on joint work with Birger Brietzke and Jan Philip Solovej.

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