Particular Integrability and (Quasi)-exact-solvability
Mathematical Physics
2015-06-05 v2 math.MP
Exactly Solvable and Integrable Systems
Classical Physics
Quantum Physics
Abstract
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.
Cite
@article{arxiv.1206.2907,
title = {Particular Integrability and (Quasi)-exact-solvability},
author = {Alexander V. Turbiner},
journal= {arXiv preprint arXiv:1206.2907},
year = {2015}
}
Comments
13 pages, typos corrected