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

Nam, Phan Thanh; Ricaud, Julien und Triay, Arnaud (2022): Ground state energy of the low density Bose gas with three-body interactions. In: Journal of Mathematical Physics, Vol. 63, No. 7, 71903

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 Published under an exclusive license by AIP Publishing.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics > Analysis, Mathematical Physics and Numerics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0022-2488
• Language: English
• DFG: Gefördert durch die Deutsche Forschungsgemeinschaft (DFG) - 390814868