47 citations · 312 across the 37 of their papers we have counts for
37 papers
Scattering theory and an index theorem on the radial part of SL(2,R)
H. Inoue, S. Richard
We present the spectral and scattering theory of the Casimir operator acting on the radial part of SL(2,R). After a suitable decomposition, these investigations consist in studying…
Decay estimates for unitary representations with applications to continuous- and discrete-time models
S. Richard, R. Tiedra de Aldecoa
We present a new technique to obtain polynomial decay estimates for the matrix coefficients of unitary operators. Our approach, based on commutator methods, applies to nets of unit…
Spectral and scattering theory for topological crystals perturbed by infinitely many new edges
S. Richard, N. Tsuzu
In this paper we investigate the spectral and scattering theory for operators acting on topological crystals and on their perturbations. A special attention is paid to perturbation…
Scattering operator and wave operators for 2D Schrödinger operators with threshold obstructions
Serge Richard, Rafael Tiedra de Aldecoa, Lyang Zhang
We determine the low-energy behaviour of the scattering operator of two-dimensional Schrödinger operators with any type of obstructions at 0-energy. We also derive explicit formula…
On radial Schroedinger operators with a Coulomb potential: General boundary conditions
J. Derezinski, J. Faupin, Q. N. Nguyen +1
This paper presents the spectral analysis of 1-dimensional Schroedinger operator on the half-line whose potential is a linear combination of the Coulomb term 1/r and the centrifuga…
Discrete Laplacian in a half-space with a periodic surface potential I: Resolvent expansions, scattering matrix, and wave operators
Song Ha Nguyen, Serge Richard, Rafael Tiedra de Aldecoa
We present a detailed study of the scattering system given by the Neumann Laplacian on the discrete half-space perturbed by a periodic potential at the boundary. We derive asymptot…