Two-body Coulomb problem and \(g^{(2)}\) algebra (once again about the hydrogen atom)

DOI10.1016/j.physleta.2023.128738OpenAlexW4323661468MaRDI QIDQ2698101

Alexander~V. Turbiner, Mauricio A. Escobar-Ruiz

Publication date: 21 April 2023

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.03108

zbMATH Keywords

hydrogen atompolynomial eigenfunctions\(O(2)+Z_2\) symmetryquasi-exact-solvability (QES)

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

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• One-dimensional quasi-exactly solvable Schrödinger equations
• New quasi-exactly solvable Hamiltonians in two dimensions
• SOLVABILITY OF THE G₂ INTEGRABLE SYSTEM
• Lie Algebras of Vector Fields in the Real Plane
• Quasi-exact-solvability of the ${{A}_{2}}/{{G}_{2}}$ elliptic model: algebraic forms, $sl(3)/{{g}^{(2)}}$ hidden algebra, and polynomial eigenfunctions
• Three-body problem in 3D space: ground state, (quasi)-exact-solvability

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