THE QUANTUM H3 INTEGRABLE SYSTEM

DOI10.1142/S0217751X10050597zbMath1208.81078arXiv1011.2127MaRDI QIDQ3086162

Marcos A. G. García, Alexander~V. Turbiner

Publication date: 30 March 2011

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2127

zbMATH Keywords

integrabilitysolvabilitypolynomial eigenfunctionsthree-dimensional Schrödinger equation\(H_{3}\) Coxeter group\(H_{3}\) invariants

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Exactly and quasi-solvable systems arising in quantum theory (81U15) Groups and algebras in quantum theory and relations with integrable systems (81R12) Reflection groups, reflection geometries (51F15)

Related Items

The quantum harmonic oscillator with icosahedral symmetry and some explicit wavefunctions, Three-body problem in d-dimensional space: Ground state, (quasi)-exact-solvability, THE QUANTUM H₄ INTEGRABLE SYSTEM, SUTHERLAND-TYPE TRIGONOMETRIC MODELS, TRIGONOMETRIC INVARIANTS AND MULTIVARIATE POLYNOMIALS III: E₈ CASE, Three-body problem in 3D space: ground state, (quasi)-exact-solvability

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