2008/08/18 by Craig A. Tracy, Harold Widom
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #Quantum, superfluid, helium dynamics #math-ph #math.MP #msc:82C23
paper · pdf · doi:10.1088/1751-8113/41/48/485204
published as J. Phys. A: Math. Theor. 41 (2008) 485204
arxiv created 2008/08/18 · openalex publication_date 2008/10/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
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.