arXiv subjects

Giovanni Satta

Publications and source records attributed to Giovanni Satta.

2 recordsLinked to original sources

arXiv2005

Gaudin models with ${\CU}_q(\mathfrak{osp}(1 | 2))$ symmetry

We consider a Gaudin model related to the q-deformed superalgebra ${\CU}_q(\mathfrak{osp}(1 | 2))$. We present an exact solution to that system diagonalizing a complete set of commuting observables, and providing the corresponding eigenvectors and eigenvalues. The approach used in this paper is based on the coalgebra supersymmetry of the model.

math-ph↗

arXiv2004

Bäcklund transformations for the rational Lagrange chain

We consider a long--range homogeneous chain where the local variables are the generators of the direct sum of $N$ $\mathfrak{e}(3)$ interacting Lagrange tops. We call this classical integrable model rational ``Lagrange chain'' showing how one can obtain it starting from $\mathfrak{su}(2)$ rational Gaudin models. Moreover we construct one- and two--point integrable maps (Bäcklund transformations).

nlin.SI↗