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Scattering coefficients and gray-body factor for 1D BEC acoustic black holes: exact results

A complete set of exact analytic solutions to the mode equation is found in the region exterior to the acoustic horizon for a class of 1D Bose-Einstein condensate (BEC) acoustic black holes. From these, analytic expressions for the scattering coefficients and gray-body factor are obtained. The results are used to verify previous predictions regarding the behaviors of the scattering coefficients and gray-body factor in the low frequency limit.

preprint2016arXivOpen access
Alessandro FabbriRoberto BalbinotPaul R. Anderson
gr-qchep-thcond-mat.quant-gas
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Alessandro FabbriRoberto BalbinotPaul R. Anderson

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