Exact solvability in contemporary physics

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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23 pages, no figures, to appear in ``Classical and Quantum Nonlinear Integrable Systems'' ed. A. Kundu

Scientific paper

We review the theory for exactly solving quantum Hamiltonian systems through
the algebraic Bethe ansatz. We also demonstrate how this theory applies to
current studies in Bose-Einstein condensation and metallic grains which are of
nanoscale size.

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