21 citations · 89 across the 16 of their papers we have counts for
17 papers
Stationary scattering theory for unitary operators with an application to quantum walks
Rafael Tiedra de Aldecoa
We present a general account on the stationary scattering theory for unitary operators in a two-Hilbert spaces setting. For unitary operators in Hilbert spaces ${\cal H}_0,…
Spectral and scattering theory of one-dimensional coupled photonic crystals
Giuseppe De Nittis, Massimo Moscolari, Serge Richard +1
We study the spectral and scattering theory of light transmission in a system consisting of two asymptotically periodic waveguides, also known as one-dimensional photonic crystals,…
Quantum time delay for unitary operators: general theory
Diomba Sambou, Rafael Tiedra de Aldecoa
We present a suitable framework for the definition of quantum time delay in terms of sojourn times for unitary operators in a two-Hilbert spaces setting. We prove that this time de…
Degree, mixing, and absolutely continuous spectrum of cocycles with values in compact Lie groups
Rafael Tiedra de Aldecoa
We consider skew products where is a compact manifold with probability measure, a compact Lie group with Li…
Explicit formulas for the Schroedinger wave operators in R^2
S. Richard, R. Tiedra de Aldecoa
In this note, we derive explicit formulas for the Schroedinger wave operators in R^2 under the assumption that 0-energy is neither an eigenvalue nor a resonance. These formulas jus…
A few results on Mourre theory in a two-Hilbert spaces setting
S. Richard, R. Tiedra de Aldecoa
We introduce a natural framework for dealing with Mourre theory in an abstract two-Hilbert spaces setting. In particular a Mourre estimate for a pair of self-adjoint operators (H,A…