12 citations · 24 across the 6 of their papers we have counts for
6 papers
A generalization of Schur functions: applications to Nevanlinna functions, orthogonal polynomials, random walks and unitary and open quantum walks
F. Alberto Grünbaum, Luis Velázquez
Recent work on recurrence in quantum walks has provided a representation of Schur functions in terms of unitary operators. We propose a generalization of Schur functions by extendi…
Self-adjointness of unbounded tridiagonal operators and spectra of their finite truncations
Eugenia N. Petropoulou, L. Velázquez
This paper addresses two different but related questions regarding an unbounded symmetric tridiagonal operator: its self-adjointness and the approximation of its spectrum by the ei…
Linear spectral transformations of Carathéodory functions
M. J. Cantero, L. Moral, L. Velázquez
In this paper we present some recent results concerning linear spectral transformations of Carathéodory functions. More precisely, given two Carathéodory functions related by a lin…
Universal time-evolution of a Rydberg lattice gas with perfect blockade
B. Olmos, R. González-Férez, I. Lesanovsky +1
We investigate the dynamics of a strongly interacting spin system that is motivated by current experimental realizations of strongly interacting Rydberg gases in lattices. In parti…
A Nambu-Jona-Lasinio like model from QCD at low energies
José Luis Cortés, Jorge Gamboa, Luis Velázquez
A generalization to any dimension of the fermion field transformation which allows to derive the solution of the massless Schwinger model in the path integral framework is identifi…
Second Order Formalism for fermions: Anomalies and Species doubling on the Laticce
J. L. Cortés, J. Gamboa, L. Velázquez
A new formulation for fermions on the lattice based on a discretization of a second order formalism is proposed. A comparison with the first order formalism in connection with the…