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21 Aprile, 2022 14:15 in punto
Sezione di Fisica Matematica

The Ground State Energy of Dilute Bose Gases

Jan Philip Solovej, University of Copenhagen
Seminario via Zoom, registrarsi al sito collegato per ricevere il link
Abstract

In the talk I will discuss the many-particle quantum problem of translation invariant gases of Bose particles. In dimensions 1,2 and 3 I will describe asymptotic formulas for the ground state energy in the dilute limit. I will focus on new results in dimension 1 derived jointly with Agerskov and Reuvers. I will also review what is known in dimensions 2 and 3. In dimension 3 the asymptotic formula is the famous Lee-Huang-Yang formula that was rigorously established in joint work with Fournais in 2020. I may also briefly mention results on Fermi gases.

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