On the 15st of November 2018, at 10:15 a.m.
Jeremy Faupin (University of Lorraine, Metz)
will give a talk on
"Dissipative quantum systems: scattering theory and spectral singularities"
Abstract
Jeremy Faupin (University of Lorraine, Metz)
will give a talk on
"Dissipative quantum systems: scattering theory and spectral singularities"
Abstract
In this talk, we will
consider an abstract pseudo-hamiltonian given by a
dissipative operator of the form H=H_V-iC^*C, where
H_V=H_0+V is self-adjoint and C is a bounded operator.
Such operators are frequently used to study scattering
theory for dissipative quantum systems. We will recall
conditions impliying the existence of the wave
operators associated to H and H_0, and we will see
that they are assymptotically complete if and only if
H has no spectral singularities in its essential
spectrum.
In mathematical physics, spectral singularities have been considered in many different contexts. We will review several possibilities equivalent definitions of a spectral singularity. For dissipative Schrodinger operators, a spectral singularity corresponds to a real resonance, or, equivalently, to a point of the positive real axis where the scattering matrix is not invertible.
The talk is based on two articles. The first ons is joint work with Jurg Frohlich and the second one is joint work with Francois Nicoleau.
In mathematical physics, spectral singularities have been considered in many different contexts. We will review several possibilities equivalent definitions of a spectral singularity. For dissipative Schrodinger operators, a spectral singularity corresponds to a real resonance, or, equivalently, to a point of the positive real axis where the scattering matrix is not invertible.
The talk is based on two articles. The first ons is joint work with Jurg Frohlich and the second one is joint work with Francois Nicoleau.
The seminar takes place on Thursdays from 10:15 a.m. to
12:00 in the room 2.23 of the main building of the
Faculty of Physics (the 2nd floor), Pasteur Str. 5,
Warszawa.
Additional information can be found on the webpage http://oldwww.fuw.edu.pl/KMMF/sem.czw.przedp.html.
Additional information can be found on the webpage http://oldwww.fuw.edu.pl/KMMF/sem.czw.przedp.html.