Quantum Many-Body Problem in One Dimension: Thermodynamics

Abstract

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.