The propagator of the attractive delta-Bose gas in one dimension

作者: Herbert Spohn , Sylvain Prolhac

DOI: 10.1063/1.3663431

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摘要: We consider the quantum delta-Bose gas on infinite line. For repulsive interactions, Tracy and Widom have obtained an exact formula for propagator. In our contribution we explicitly perform its analytic continuation to attractive interactions. also study connection expansion of propagator in terms Bethe ansatz eigenfunctions. Thereby provide independent proof their completeness.

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