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math.SP2022
Spectral decomposition of some non-self-adjoint operators
Jérémy Faupin, Nicolas Frantz
We consider non-self-adjoint operators in Hilbert spaces of the form , where is self-adjoint, is bounded and is a metric operator, bounded and relative…
math.SP2018
Scattering matrices for dissipative quantum systems
Jérémy Faupin, Francois Nicoleau
We consider a quantum system S interacting with another system S and susceptible of being absorbed by S. The effective, dissipative dynamics of S is supposed to be generated by an…