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The dynamics of the one-dimensional delta-function Bose gas

Craig A. TracyDepartment of Mathematics, University of California Davis, CA 95616, USAHarold WidomDepartment of Mathematics, University of California, Santa Cruz, CA 95064, USA
2008en
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We give a method to solve the time-dependent Schrödinger equation for a system of one-dimensional bosons interacting via a repulsive delta function potential. The method uses the ideas of Bethe Ansatz but does not use the spectral theory of the associated Hamiltonian. 1 1

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