Stability of a Fermionic N + 1 Particle System with Point Interactions
Stability of a Fermionic N + 1 Particle System with Point Interactions
复制标题
具有点相互作用的费米子 N + 1 粒子系统的稳定性
DOI：
--
复制
发表时间：
2016
期刊：
影响因子：
--
通讯作者：
R. Seiringer
中科院分区：
文献类型：
--
作者：
T. Moser;R. Seiringer
我们证明了一个由N个费米子通过点相互作用与一个附加粒子相互作用的系统是稳定的，如果附加粒子的质量与费米子的质量之比大于某个临界m*。m* 的值与N无关，并且小于1。这一事实对幺正费米气体的稳定性具有重要意义。我们还刻画了该模型的哈密顿量的区域，并建立了该区域内所有波函数的Tan关系的有效性。
We prove that a system of N fermions interacting with an additional particle via point interactions is stable if the ratio of the mass of the additional particle to the one of the fermions is larger than some critical m*. The value of m* is independent of N and turns out to be less than 1. This fact has important implications for the stability of the unitary Fermi gas. We also characterize the domain of the Hamiltonian of this model, and establish the validity of the Tan relations for all wave functions in the domain.