Particular integrability and (quasi)-exact-solvability

DOI10.1088/1751-8113/46/2/025203zbMath1267.81186arXiv1206.2907OpenAlexW2063073793MaRDI QIDQ4920363

Alexander~V. Turbiner

Publication date: 17 May 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2907

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Groups and algebras in quantum theory and relations with integrable systems (81R12) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) (n)-body problems (70F10) Special quantum systems, such as solvable systems (81Q80)

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Three charges on a plane in a magnetic field: Special trajectories ⋮ An efficient interpolating wavelet collocation scheme for quasi‐exactly solvable Sturm–Liouville problems in ℝ+ ⋮ Three-body problem in d-dimensional space: Ground state, (quasi)-exact-solvability ⋮ Two charges on a plane in a magnetic field: Special trajectories ⋮ On superintegrability of 3D axially-symmetric non-subgroup-type systems with magnetic fields

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