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The excitation spectrum of the Bose gas in the Gross–Pitaevskii regime

Chiara Boccato

Chiara Boccato

IST Austria, Am Campus 1, 3400 Klosterneuburg, Austria

E-mail Address: chiara.boccato@ist.ac.at

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https://doi.org/10.1142/S0129055X20600065Cited by:6 (Source: Crossref)

This article is part of the issue:

Special Issue on Mathematical Results in Quantum Mechanics

Abstract

We consider a gas of interacting bosons trapped in a box of side length one in the Gross–Pitaevskii limit. We review the proof of the validity of Bogoliubov’s prediction for the ground state energy and the low-energy excitation spectrum. This note is based on joint work with C. Brennecke, S. Cenatiempo and B. Schlein.

Keywords:

AMSC: 81V70, 82B10, 81–06

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