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

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

2011-09-15

arxiv.org/abs/1109.3404v3

J. Math. Phys. 52, 122106 (2011)

Physics

Mathematical Physics

20 pages

Scientific paper

10.1063/1.3663431

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

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