Ground state energy of the low density Bose gas with three-body interactions-Reference-Cited by-同舟云学术

Ground state energy of the low density Bose gas with three-body interactions

Published:2022-07-01 Issue:7 Volume:63 Page:071903
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:J. Math. Phys.

Author:

Nam Phan Thành¹^ORCID,Ricaud Julien²^ORCID,Triay Arnaud¹^ORCID

Affiliation:

1. Department of Mathematics, LMU Munich, Theresienstrasse 39, 80333 Munich, Germany and Munich Center for Quantum Science and Technology, Schellingstr. 4, 80799 Munich, Germany

2. Centre de Mathématiques Appliquées, École polytechnique, 91128 Palaiseau Cedex, France

Abstract

We consider the low density Bose gas in the thermodynamic limit with a three-body interaction potential. We prove that the leading order of the ground state energy of the system is determined completely in terms of the scattering energy of the interaction potential. The corresponding result for two-body interactions was proved in seminal papers of Dyson [Phys. Rev. 106, 20–26 (1957)] and of Lieb and Yngvason [Phys. Rev. Lett. 80, 2504–2507 (1998)].

Funder

Deutsche Forschungsgemeinschaft

Agence Nationale de la Recherche

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://aip.scitation.org/doi/pdf/10.1063/5.0087026

Reference33 articles.

1. Plancks Gesetz und Lichtquantenhypothese

2. Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor

3. Bose-Einstein Condensation in a Gas of Sodium Atoms

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