Dilute Bose gas with three-body interaction: recent results and open questions

التفاصيل البيبلوغرافية
العنوان: Dilute Bose gas with three-body interaction: recent results and open questions
المؤلفون: Nam, Phan Thành, Ricaud, Julien, Triay, Arnaud
المصدر: Journal of Mathematical Physics 63 (2022) 061103
سنة النشر: 2022
المجموعة: Mathematics
Mathematical Physics
مصطلحات موضوعية: Mathematical Physics
الوصف: 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 Schr\"odinger equation to describe the ground state energy of a Bose-Einstein condensate, where the nonlinearity strength is determined by a zero scattering problem. Several open questions will also be discussed.
Comment: Contribution to the Proceedings of ICMP, 2-7 August 2021, Geneva, Switzerland. 16 pages
نوع الوثيقة: Working Paper
DOI: 10.1063/5.0089775
URL الوصول: http://arxiv.org/abs/2202.13967
رقم الأكسشن: edsarx.2202.13967
قاعدة البيانات: arXiv