Matrix solvable Calogero models of \(G_2\) type. (English) Zbl 1311.81143

Summary: We apply method developed by Č. Burdík and O. Navrátil to compute new matrix solvable model of the \(G_{2}\) type and obtain the new solvable model of the system with two by two matrix potential.
See also [J. Geom. Symmetry Phys. 6, 11–15 (2006; Zbl 1104.81057)].


81R12 Groups and algebras in quantum theory and relations with integrable systems
37N20 Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics)


Zbl 1104.81057