Thermodynamics of Fermions in One Dimension with a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>δ</mml:mi></mml:math>-Function Interaction

Abstract

The equilibrium thermodynamics of a one-dimensional fermion system with a repulsive $\ensuremath{\delta}$-function interaction is found to be derivable from the solution of a set of coupled integral equations. The equations for the attractive case are also given.