2 citations · 5 across the 4 of their papers we have counts for
4 papers
Resolvent expansions and continuity of the scattering matrix at embedded thresholds: the case of quantum waveguides
S. Richard, R. Tiedra de Aldecoa
We present an inversion formula which can be used to obtain resolvent expansions near embedded thresholds. As an application, we prove for a class of quantum waveguides the absence…
Spectral analysis and time-dependent scattering theory on manifolds with asymptotically cylindrical ends
S. Richard, R. Tiedra de Aldecoa
We review the spectral analysis and the time-dependent approach of scattering theory for manifolds with asymptotically cylindrical ends. For the spectral analysis, higher order res…
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…
Time delay is a common feature of quantum scattering theory
S. Richard, R. Tiedra de Aldecoa
We prove that the existence of time delay defined in terms of sojourn times, as well as its identity with Eisenbud-Wigner time delay, is a common feature of two Hilbert space quant…