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Testing Hall-Post Inequalities With Exactly Solvable N-Body Problems

Avinash Khare·Jean-Marc Richard
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Abstract

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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Avinash Khare, Jean-Marc Richard. 2001-05-25. Testing Hall-Post Inequalities With Exactly Solvable N-Body Problems. https://doi.org/10.1088/0305-4470%2F34%2F33%2F102

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