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High-momentum tail in the Tonks-Girardeau gas under general confining potentials
Authors:Gustavo A. Moreno
Affiliation:CONICET and Departamento de Física, FCEN, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Abstract:We prove that the ground state momentum distribution of a one-dimensional system of impenetrable bosons exhibits a k−4 tail for any confining potential. We also derive an expression for easily computing the asymptotic occupation numbers and verify our results with an exact numerical approach.
Keywords:03.75.Hh   05.30.-d
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