dorsal/arxiv
View SchemaTesting Hall-Post Inequalities With Exactly Solvable N-Body Problems
| Authors | Avinash Khare, Jean-Marc Richard |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0105130 |
| URL | https://arxiv.org/abs/quant-ph/0105130 |
| DOI | 10.1088/0305-4470/34/33/102 |
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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"abstract": "The Hall--Post inequalities provide lower bounds on $N$-body energies in\nterms of $N\u0027$-body energies with $N\u0027\u003cN$. They are rewritten and generalized to\nbe tested with exactly-solvable models of Calogero-Sutherland type in one and\nhigher dimensions. The bound for $N$ spinless fermions in one dimension is\nbetter saturated at large coupling than for noninteracting fermions in an\noscillator",
"arxiv_id": "quant-ph/0105130",
"authors": [
"Avinash Khare",
"Jean-Marc Richard"
],
"categories": [
"quant-ph",
"cond-mat",
"math-ph",
"math.MP"
],
"doi": "10.1088/0305-4470/34/33/102",
"title": "Testing Hall-Post Inequalities With Exactly Solvable N-Body Problems",
"url": "https://arxiv.org/abs/quant-ph/0105130"
},
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