The spin 1/2 Calogero-Gaudin System and its q-Deformation
F. Musso, O. Ragnisco
Abstract
The spin 1/2 Calogero-Gaudin system and its q-deformation are exactly solved: a complete set of commuting observables is diagonalized, and the corresponding eigenvectors and eigenvalues are explicitly calculated. The method of solution is purely algebraic and relies on the co-algebra simmetry of the model.
Create a lesson
Related papers
The N-solitonN-soliton solution formula for the Kaup--Kupershmidt equation
Tuncay Aktosun, Ramazan Ercan, Mehmet Unlu
The integer spectrum of a superintegrable quantum field theory
Marine De Clerck, Oleg Evnin
On a certain system of discrete equations with the Laurent property
Andrei K. Svinin
Rogue waves in the dam-break problem for the Kundu--Eckhaus equation
Jiaming Sun, Zhen Wang, Tianwei Qiu
Ground state and excitations of the \(C2(1)\) spin chain with non-diagonal boundaries
Zhouzheng Ji, Guang-Liang Li, Yi Qiao et al.
Elliptic soliton solutions of lattice eigenfunction equations of the KdV type
Xing Li, Ying Shi, Da-jun Zhang et al.