Wavefunction reduction in the quantum integrable systems
Evgeny Sklyanin (York)
We discuss a peculiar phenomenon observed for a number of quantum integrable systems. A specialization of a multivariate eigenfunction of the commuting Hamiltonians on a certain curve produces a univariate function whose zeros satisfy Bethe Ansatz equations. The list of examples includes Calogero-Moser system, Benjamin-Ono, Korteweg-de Vries, Intermediate Long Waves equations.
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