用精确可解的N体问题检验Hall-Post不等式
Testing Hall-Post Inequalities With Exactly Solvable N-Body Problems
摘要：
霍尔-波斯特不等式提供了$N$ -体能量的下界，它是用具有$N'<N$的$N'$-体能量表示的.他们被重写和推广到测试与Calogero-Sutherland型在一个和更高的维度的精确可解模型。一维$N$无自旋费米子的束缚在大耦合下比非相互作用费米子在振子中的束缚更好地饱和
英文摘要：
The Hall--Post inequalities provide lower bounds on $N$-body energies in terms of $N'$-body energies with $N'<N$. They are rewritten and generalized to be tested with exactly-solvable models of Calogero-Sutherland type in one and higher dimensions. The bound for $N$ spinless fermions in one dimension is better saturated at large coupling than for noninteracting fermions in an oscillator
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