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Testing Hall-Post inequalities with exactly solvable N-body problems

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Published 10 August 2001 • Published under licence by IOP Publishing Ltd
, , Citation Avinash Khare and Jean-Marc Richard 2001 J. Phys. A: Math. Gen. 34 L447 DOI 10.1088/0305-4470/34/33/102

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Author affiliations

1 Institute of Physics, Sachivalaya Marg, Bhubaneswar 751005, India

2 Institut des Sciences Nucléaires, Université Joseph Fourier-CNRS-IN2P3 53, avenue des Martyrs, F 38026 Grenoble, France

Dates

  1. Received 11 June 2001
  2. Published

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0305-4470/34/33/L447

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 potential.

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