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Physics Letters A

Ground-state energy density of a one-dimensional fermion system with repulsive δ-function interaction: A pseudo-linear response treatment

I. Nagy

Published May 1, 1997• 0 citations
Publisher
DOI
10.1016/s0375-9601(97)00136-9

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The ground-state energy of a one-dimensional fermion system interacting via a repulsive $\ensuremath{\delta}$-function potential is calculated rigorously within the "ladder" approximation as a function of the coupling constant and the results compared with those given by the exact solution of Yang. Comparison with other many-body approximate theories has also been made. The density-density response function has also been calculated in an approximation in which the particle-hole interaction in the polarization bubble is taken into account to all orders. Results of this dynamic theory are compared with those of other approximations.