论文标题
低密度bose气体的基态能与三体相互作用
Ground state energy of the low density Bose gas with three-body interactions
论文作者
论文摘要
我们认为低密度bose气体在热力学极限中具有三体相互作用的潜力。我们证明,完全根据相互作用电位的散射能来完全确定系统的基态能量的领先顺序。戴森(Dyson,1957)和lieb-yngvason(1998)的开创性论文中证明了两体相互作用的相应结果。
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 (1957) and Lieb--Yngvason (1998).