发表机构
Faculty of Mathematics and Computer Science, University of Science; Vietnam National University（理科大学数学与计算机学院; 越南国立大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究针对受吸引两体与排斥三体相互作用的均匀一维玻色气体，借助中间哈特利理论推导平均场极限对应的非线性薛定谔泛函，分析排斥三体项对基态能量估计及质量聚集特性的影响。
AI 中文摘要
我们研究由N个全同玻色子组成的均匀一维玻色气体的行为，该气体同时受到吸引性两体相互作用与排斥性三体相互作用。利用中间哈特利（Hartree）理论，我们严格推导出均匀三次-五次非线性薛定谔泛函，作为多体哈密顿量的平均场极限。特别关注排斥性三体项对基态能量估计和质量聚集特性的影响。
英文摘要
We investigate the behavior of a homogeneous one-dimensional Bose gas composed of $N$ identical bosons experiencing attractive two-body and repulsive three-body interactions. Utilizing intermediate Hartree theory, we rigorously derive the homogeneous cubic-quintic nonlinear Schrödinger functional as the mean-field limit of the many-body Hamiltonian. Particular attention is given to the impact of the repulsive three-body term on ground state energy estimates and mass concentration properties
