Energy lower bound for the unitary N + 1 fermionic model
Energy lower bound for the unitary N + 1 fermionic model
复制标题
酉 N 1 费米子模型的能量下界
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
A. Teta
中科院分区：
文献类型：
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作者：
M. Correggi;D. Finco;A. Teta
我们考虑了无限双体散射长度下N + 1费米子模型的稳定性问题，即N个相同费米子通过与不同粒子的零距离相互作用而相互作用的系统。从两体边界条件出发，构造了能量期望值的显式表达式。然后从下入手研究了模型的有界性，并给出了质量比的一个充分条件，保证了模型的稳定性。
We consider the stability problem for a unitary N + 1 fermionic model, i.e., a system of N identical fermions interacting via zero-range interactions with a different particle, in the case of infinite two-body scattering length. Starting from the two-body boundary condition, we construct an explicit expression for the expectation value of the energy. Then we investigate its boundedness from below and exhibit a sufficient condition on the mass ratio, which guarantees the stability of the model.