44 citations · 131 across the 6 of their papers we have counts for
7 papers
Nilpotent integrability, reduction of dynamical systems and a third-order Calogero-Moser system
A. Ibort, G. Marmo, M. A. Rodriguez +1
We present an algebraic formulation of the notion of integrability of dynamical systems, based on a nilpotency property of its flow: it can be explicitly described as a polynomial…
-symmetries for discrete equations
D. Levi, M. A. Rodriguez
Following the usual definition of -symmetries of differential equations, we introduce the analogous concept for difference equations and apply it to some examples.
The Berry-Tabor conjecture for spin chains of Haldane-Shastry type
J. C. Barba, F. Finkel, A. Gonzalez-Lopez +1
According to a long-standing conjecture of Berry and Tabor, the distribution of the spacings between consecutive levels of a "generic'' integrable model should follow Poisson's law…
The Polychronakos-Frahm spin chain of BC_N type and Berry-Tabor's conjecture
J. C. Barba, F. Finkel, A. Gonzalez-Lopez +1
We compute the partition function of the su(m) Polychronakos-Frahm spin chain of BC_N type by means of the freezing trick. We use this partition function to study several statistic…
Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials
A. Enciso, F. Finkel, A. Gonzalez-Lopez +1
We review some recent results on quasi-exactly solvable spin models presenting near-neighbors interactions. These systems can be understood as cyclic generalizations of the usual C…
Haldane-Shastry spin chains of BC_N type
A. Enciso, F. Finkel, A. Gonzalez-Lopez +1
We introduce four types of SU(2M+1) spin chains which can be regarded as the BC_N versions of the celebrated Haldane-Shastry chain. These chains depend on two free parameters and,…