From quantum \(A_{N}\) (Calogero) to \(H_{4}\) (Rational) model

DOI10.3842/SIGMA.2011.071zbMath1243.81084arXiv1106.5017MaRDI QIDQ431336

Alexander~V. Turbiner

Publication date: 26 June 2012

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.5017

zbMATH Keywords

(quasi)-exact-solvabilityalgebraic formsCoxeter (Weyl) invariantshidden algebrarational models

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Eigenvalue problems for linear operators (47A75) Invariant subspaces of linear operators (47A15) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Representation theory of linear operators (47A67) Special quantum systems, such as solvable systems (81Q80)

Related Items (1)

One-dimensional quasi-exactly solvable Schrödinger equations

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