Exact bound states of some N-body systems with two- and three-body forces

DOI10.1063/1.1666291zbMath0263.70012OpenAlexW2023583627MaRDI QIDQ5679768

Francesco Calogero, Carlo Marchioro

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1063/1.1666291

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items (15)

Novel quantum states of the rational Calogero models without the confining interaction ⋮ Partially solvable quantum many-body problems in D-dimensional space (D=1,2,3,…) ⋮ \(l\)-conformal Newton-Hooke symmetry of the damped Pais-Uhlenbeck oscillator ⋮ Quantized normal matrices: some exact results and collective field formulation ⋮ Conformal mechanics in Newton-Hooke spacetime ⋮ Universal properties of conformal quantum many-body systems ⋮ Generalized Calogero model in arbitrary dimensions ⋮ On the Jastrow wave function for \(N\) particles on a plane. ⋮ Calogero-Sutherland type models in higher dimensions. ⋮ A quantum many-body problem in two dimensions: ground state. ⋮ 2D Calogero model in the collective-field approach ⋮ Exact solvability of a two-dimensional real singular Morse potential ⋮ A number of quasiexactly solvable N-body problems ⋮ Exact ground state of several N-body problems with an N-body potential ⋮ Inequivalent quantizations of the N=3 Calogero model with scale and mirror-S3 symmetry

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