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math.SP2016★ 18 cited
Spectral and scattering theory for Schrödinger operators on perturbed topological crystals
Daniel Parra, Serge Richard
In this paper we investigate the spectral and the scattering theory of Schrödinger operators acting on perturbed periodic discrete graphs. The perturbations considered are of two t…
math.SP2005★ 13 cited
Some improvements in the method of the weakly conjugate operator
Serge Richard
We present some improvements in the method of the weakly conjugate operator, one variant of the Mourre theory. When applied to certain two-body Schroedinger operators, this leads t…
math.SP2005★ 1 cited
Spectral and Propagation Results for Magnetic Schroedinger Operators; a C*-Algebraic Framework
Marius Mantoiu, Radu Purice, Serge Richard
We study generalised magnetic Schroedinger operators of the form H(A,V)=h(P^A)+V, where h is an elliptic symbol, P^A is the generator of the magnetic translations, with A a vector…