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Journal of Mathematical Physics

Quantum Many-Body Problem in One Dimension: Ground State

Bill Sutherland

Published Feb 1, 1971• 696 citations
Publisher

Abstract

We investigate the ground state of a system of either fermions or bosons interacting in one dimension by a 2-body potential V(r) = g/r2. In the thermodynamic limit, we determine the ground state energy and pair correlation function.
DOI
10.1063/1.1665584

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We continue our investigation of a system of either fermions or bosons interacting in one dimension by a 2-body potential V(r) = g/r2. We first present an approximation for the eigenstates of a general 1-dimensional quantum many-body system. We then apply this approximation to the g/r2 potential, allowing complete determination of the thermodynamic properties. Finally, comparing the results with those properties known exactly, we conjecture that the approximation is, in fact, exact for the g/r2 potential.
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