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Abstract: Using a modified WKB approach, we present a rigorous semi-classical analysisfor solutions of nonlinear Schroedinger equations with rotational forcing. Thisyields a rigorous justification for the hydrodynamical system of rotatingsuperfluids. In particular it is shown that global-in-time semi-classicalconvergence holds whenever the limiting hydrodynamical system has global smoothsolutions and we also discuss the semi-classical dynamics of several physicalquantities describing rotating superfluids.



Author: Hailiang Liu, Christof Sparber

Source: https://arxiv.org/







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