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Exact results for the one-dimensional mixed boson-fermion interacting gas

Exact results for the one-dimensional mixed boson-fermion interacting gas

The exact solution of the one-dimensional interacting mixed boson-fermion gas is used to calculate ground-state properties both for finite systems and in the thermodynamic limit. The quasimomentum distribution, ground-state energy, and generalized velocities are obtained as functions of the interaction strength both for polarized and nonpolarized fermions. We do not …