Four-body (an)harmonic oscillator in d-dimensional space: S-states, (quasi)-exact-solvability, hidden algebra sl (7)
DOI10.1063/5.0050572zbMath1469.81014arXiv2103.08094OpenAlexW3178090577MaRDI QIDQ5009730
Willard jun. Miller, Alexander~V. Turbiner, Mauricio A. Escobar-Ruiz
Publication date: 5 August 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.08094
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie (super)algebras to physics, etc. (17B81) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Molecular physics (81V55) (n)-body problems (70F10) Special quantum systems, such as solvable systems (81Q80)
Cites Work
- Central configurations of four bodies with an axis of symmetry
- Finiteness of relative equilibria of the four-body problem
- Quasi-exactly-solvable problems and sl(2) algebra
- The quantumn-body problem in dimensiond⩾n– 1: ground state
- Four-body problem in d-dimensional space: Ground state, (quasi)-exact-solvability. IV
- Separation of Variables and Superintegrability
- A Symmetric Representation for Three-Body Problems. I. Motion in a Plane
- Three-body closed chain of interactive (an)harmonic oscillators and the algebra $sl(4)$
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