From two-dimensional (super-integrable) quantum dynamics to (super-integrable) three-body dynamics
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Publication:5876317
DOI10.1088/1751-8121/abcb43OpenAlexW3032837931MaRDI QIDQ5876317
Willard jun. Miller, Mauricio A. Escobar-Ruiz, Alexander~V. Turbiner
Publication date: 1 February 2023
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.05726
planar dynamics(super)integrabilityexact-solvabilitythree-body quantum dynamicsthree-body wolfes model
Related Items (2)
\(\mathfrak{gl}(3)\) polynomial integrable system: different faces of the 3-body/\(\mathcal{A}_2\) elliptic Calogero model ⋮ Dynamical symmetry algebras of two superintegrable two-dimensional systems
Cites Work
- Tools for verifying classical and quantum superintegrability
- Exact solvability of superintegrable systems
- Classical and quantum superintegrability with applications
- A nonseparable quantum superintegrable system in 2D real Euclidean space
- Coupling constant metamorphosis andNth-order symmetries in classical and quantum mechanics
- Second order superintegrable systems in conformally flat spaces. II. The classical two-dimensional Stäckel transform
- Quantum superintegrable systems with quadratic integrals on a two dimensional manifold
- An infinite family of superintegrable deformations of the Coulomb potential
- Superintegrability and higher order integrals for quantum systems
- An infinite family of solvable and integrable quantum systems on a plane
- Separation of variables on n-dimensional Riemannian manifolds. I. The n-sphere S n and Euclidean n-space R n
- Three-body problem in d-dimensional space: Ground state, (quasi)-exact-solvability
- Superintegrability of the Tremblay–Turbiner–Winternitz quantum Hamiltonians on a plane for oddk
- Superintegrability of the caged anisotropic oscillator
- On the Problem of Degeneracy in Quantum Mechanics
- Periodic orbits for an infinite family of classical superintegrable systems
- Three-body closed chain of interactive (an)harmonic oscillators and the algebra $sl(4)$
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