Thursday, June 14, 2012

1206.2907 (Alexander V Turbiner)

Particular Integrability and (Quasi)-exact-solvability    [PDF]

Alexander V Turbiner
A notion of a particular integrability is introduced when two operators commute on a subspace of the space where they act. Particular integrals for one-dimensional (quasi)-exactly-solvable Schroedinger operators and Calogero-Sutherland Hamiltonians for all roots are found. In the classical case some special trajectories for which the corresponding particular constants of motion appear are indicated.
View original: http://arxiv.org/abs/1206.2907

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