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

DOI10.1063/1.5083129zbMath1416.81083arXiv1811.06008OpenAlexW4243946655MaRDI QIDQ5223590

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

Publication date: 18 July 2019

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

Full work available at URL: https://arxiv.org/abs/1811.06008

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Poisson algebras (17B63) (n)-body problems (70F10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Special quantum systems, such as solvable systems (81Q80)

Related Items (3)

On the four-body problem in the Born-Oppenheimer approximation ⋮ Four-body (an)harmonic oscillator in d-dimensional space: S-states, (quasi)-exact-solvability, hidden algebra sl (7) ⋮ New infinite families of Nth-order superintegrable systems separating in Cartesian coordinates

Cites Work

• Unnamed Item
• One-dimensional quasi-exactly solvable Schrödinger equations
• 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
• EXACT SOLVABILITY OF THE CALOGERO AND SUTHERLAND MODELS
• QUASI-EXACTLY-SOLVABLE MANY-BODY PROBLEMS
• The quantumn-body problem in dimensiond⩾n– 1: ground state
• Three-body problem in d-dimensional space: Ground state, (quasi)-exact-solvability
• Quantum four-body system in D dimensions
• Separation of Variables and Superintegrability
• Three-body problem in 3D space: ground state, (quasi)-exact-solvability

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