13 citations · 35 across the 11 of their papers we have counts for
11 papers
The Generalized Lipkin-Meshkov-Glick Model and the Modified Algebraic Bethe Ansatz
Taras Skrypnyk
We show that the Lipkin-Meshkov-Glick -fermion model is a particular case of one-spin Gaudin-type model in an external magnetic field corresponding to a limiting case of non-sk…
Separation of Variables, Quasi-Trigonometric -Matrices and Generalized Gaudin Models
Taras Skrypnyk
We construct two new one-parametric families of separated variables for the classical Lax-integrable Hamiltonian systems governed by a one-parametric family of non-skew-symmetric,…
A new approach to separation of variables for the Clebsch integrable system. Part II: Inversion of the Abel--Prym map
Yu. Fedorov, F. Magri, T. Skrypnyk
This is the second part of a paper describing a new concept of separation of variables applied to the classical Clebsch integrable case. The quadratures obtained in Part I (also up…
A new approach to separation of variables for the Clebsch integrable system. Part I: Reduction to quadratures
Yu. Fedorov, F. Magri, T. Skrypnyk
This is the first part of a two-part paper describing a new concept of separation of variables applied to the Clebsch integrable case of the Kirchhoff equations. There are two prin…
New Separation of Variables for the Classical XXX and XXZ Heisenberg Spin Chains
Guido Magnano, Taras Skrypnyk
We propose a non-standard separation of variables for the classical integrable XXX and XXZ spin chains with degenerate twist matrix. We show that for the case of such twist matrice…
The Clebsch System
Franco Magri, Taras Skrypnyk
The Clebsch system is one of the few classical examples of rigid bodies whose equations of motion are known to be integrable in the sense of Liouville. The explicit solution of its…