Testing Hall-Post Inequalities With Exactly Solvable N-Body Problems
نویسنده
چکیده
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 potential.
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