A solvable many-body problem, its equilibria, and a second-order ordinary differential equation whose general solution is polynomial

DOI10.1063/1.4773571zbMath1285.82023OpenAlexW2054436157WikidataQ115333304 ScholiaQ115333304MaRDI QIDQ5396274

Francesco Calogero

Publication date: 5 February 2014

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

Full work available at URL: https://doi.org/10.1063/1.4773571

zbMATH Keywords

many-body problemsecond-order ordinary differential equationDiophantine condition

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Many-body theory; quantum Hall effect (81V70) (n)-body problems (70F10)

Related Items

A linear second-order ODE with only polynomial solutions ⋮ On linear equations with general polynomial solutions ⋮ Diophantine Properties Associated to the Equilibrium Configurations of an Isochronous N-Body Problem ⋮ Equilibria of a solvable N-body problem and related properties of the N numbers x _n at which the Jacobi polynomial of order N has the same value

Cites Work

• Unnamed Item
• Can thegeneralsolution of the second-order ODE characterizing Jacobi polynomials bepolynomial?
• Isochronous Systems