STATE FUNCTION AND SPECTRAL PROPERTIES OF A 2-COMPONENT INTERACTING FERMI GAS

Rules are derived for the computation of the spectrum and state function of a system of N fermions in one dimension interacting with a delta function potential. The system is composed of fermions of two types of internal symmetry. The rules are valid for an arbitrary number of either symmetry type and any value of the delta function interaction strength. The state functions satisfy periodic boundary conditions, and therefore describe the interacting system at nonzero density. © 1989 American Insttute of Physics.