On three particle matrix Calogero models

DOI10.1016/j.physleta.2005.12.032zbMath1187.70030OpenAlexW2080772232MaRDI QIDQ973624

Čestmír Burdík, Ondřej Navrátil, Severin Pošta

Publication date: 2 June 2010

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.12.032

zbMATH Keywords

matrix solvable models

Mathematics Subject Classification ID

Hamilton's equations (70H05) Groups and algebras in quantum theory and relations with integrable systems (81R12) (n)-body problems (70F10)

Cites Work

• Spin-dependent extension of Calogero-Sutherland model through anyon-like representations of permutation operators
• Multicomponent Calogero model of \(B_N\)-type confined in a harmonic potential
• Differential-Difference Operators Associated to Reflection Groups
• Exchange operator formalism for integrable systems of particles
• A method for construction of the matrix solvable models
• New spin Calogero-Sutherland models related to \(B_N\)-type Dunkl operators
• \(A_N\)-type Dunkl operators and new spin Calogero-Sutherland models