10 citations · 10 across the 1 of their papers we have counts for
5 papers
Polynomials with symmetric zeros
R. S. Vieira
Polynomials whose zeros are symmetric either to the real line or to the unit circle are very important in mathematics and physics. We can classify them into three main classes: the…
How to count the number of zeros that a polynomial has on the unit circle?
R. S. Vieira
The classical problem of counting the number of real zeros of a real polynomial was solved a long time ago by Sturm. The analogous problem of counting the number of zeros that a po…
Solving and classifying the solutions of the Yang-Baxter equation through a differential approach. Two-state systems
R. S. Vieira
The formal derivatives of the Yang-Baxter equation with respect to its spectral parameters, evaluated at some fixed point of these parameters, provide us with two systems of differ…
The algebraic Bethe Ansatz and combinatorial trees
R. S. Vieira, A. Lima-Santos
We present in this paper a comprehensive introduction to the algebraic Bethe Ansatz, taking as examples the six-vertex model with periodic and non-periodic boundary conditions. We…
Reflection matrices with symmetry
R. S. Vieira, A. Lima-Santos
We propose a classification of the reflection -matrices (solutions of the boundary Yang-Baxter equation) for the $U_{q}[\mathrm{osp}^{\left(2\right)}\left(2|2m\right)]=U_{q}[C^{…