# Numerical and theoretical advances in quantum mechanics

Jan 16 – 20, 2023
IMT
Europe/Paris timezone

## Serena Cenatiempo: "A second order upper bound for the ground state energy of dilute Bose gases"

Jan 18, 2023, 10:30 AM
55m
Amphithéâtre Schwartz (IMT)

### Amphithéâtre Schwartz

#### IMT

Université Paul Sabatier, 118 Route de Narbonne, 31000 Toulouse France

### Description

Back in 2009 H.-T. Yau and J. Yin established a second order upper bound for the ground state energy of dilute Bose gases in the thermodynamic limit, finally in agreement with a elebrated prediction due to Bogoliubov and, in more explicit terms, by Lee, Huang and Yang. In this talk we describe recent ideas allowing us to establish the same result for a larger class of potentials (namely repulsive and compactly supported potentials $V \in L^3(R^3)$), and via a simpler proof. Joint work with G. Basti and B. Schlein.

### Presentation materials

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