Three-body problem in d-dimensional space: Ground state, (quasi)-exact-solvability

DOI10.1063/1.4994397zbMath1384.81030arXiv1707.01324OpenAlexW3103705202MaRDI QIDQ4607681

Willard jun. Miller, Mauricio A. Escobar-Ruiz, Alexander~V. Turbiner

Publication date: 14 March 2018

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

Full work available at URL: https://arxiv.org/abs/1707.01324

zbMATH Keywords

3-body problem, \(d\)-dimensional celestial mechanicsQuantum celestial mechanics

Mathematics Subject Classification ID

Three-body problems (70F07) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Poisson algebras (17B63) Celestial mechanics (70F15) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Special quantum systems, such as solvable systems (81Q80)

Related Items (8)

The quantumn-body problem in dimensiond⩾n– 1: ground state ⋮ On the four-body problem in the Born-Oppenheimer approximation ⋮ The $n$ Body Matrix and Its Determinant ⋮ Existence of propagators for time-dependent Coulomb-like potentials ⋮ Four-body problem in d-dimensional space: Ground state, (quasi)-exact-solvability. IV ⋮ Three-body closed chain of interactive (an)harmonic oscillators and the algebra $sl(4)$ ⋮ From two-dimensional (super-integrable) quantum dynamics to (super-integrable) three-body dynamics ⋮ Three-body problem in 3D space: ground state, (quasi)-exact-solvability

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