30 citations · 84 across the 5 of their papers we have counts for
5 papers
A Haldane-Shastry spin chain of BC_N type in a constant magnetic field
A. Enciso, F. Finkel, A. Gonzalez-Lopez +1
We compute the spectrum of the trigonometric Sutherland spin model of BC_N type in the presence of a constant magnetic field. Using Polychronakos's freezing trick, we derive an exa…
Quasi-exactly solvable models in nonlinear optics
G Alvarez, F Finkel, A Gonzalez-Lopez +1
We study a large class of models with an arbitrary (finite) number of degrees of freedom, described by Hamiltonians which are polynomial in bosonic creation and annihilation operat…
On the Sutherland Spin Model of B_N Type and its Associated Spin Chain
F. Finkel, D. Gomez-Ullate, A. Gonzalez-Lopez +2
The B_N hyperbolic Sutherland spin model is expressed in terms of a suitable set of commuting Dunkl operators. This fact is exploited to derive a complete family of commuting integ…
The Lame equation in parametric resonance after inflation
F. Finkel, A. Gonzalez-Lopez, A. L. Maroto +1
We show that the most general inflaton potential in Minkowski spacetime for which the differential equation for the Fourier modes of the matter fields reduces to Lamé's equation is…
A New Algebraization of the Lame Equation
F. Finkel, A. Gonzalez-Lopez, M. A. Rodriguez
We develop a new way of writing the Lame Hamiltonian in Lie-algebraic form. This yields, in a natural way, an explicit formula for both the Lame polynomials and the classical non-m…