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math-ph2022
On one-dimensional Bose gases with two- and (critical) attractive three-body interactions
Dinh-Thi Nguyen, Julien Ricaud
We consider a one-dimensional, trapped, focusing Bose gas where bosons interact with each other via both a two-body interaction potential of the form an…
math-ph2022★ 11 cited
Dilute Bose gas with three-body interaction: recent results and open questions
Phan Thành Nam, Julien Ricaud, Arnaud Triay
We review our recent study on the ground state energy of dilute Bose gases with three-body interactions. The main feature of our results is the emergence of the 3D energy-critical…
math-ph2022★ 13 cited
Ground state energy of the low density Bose gas with three-body interactions
Phan Thành Nam, Julien Ricaud, Arnaud Triay
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…