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math-ph2018★ 4 cited
Quantum time delay for unitary operators: general theory
Diomba Sambou, Rafael Tiedra de Aldecoa
We present a suitable framework for the definition of quantum time delay in terms of sojourn times for unitary operators in a two-Hilbert spaces setting. We prove that this time de…
math.SP2018
On the spectral properties of non-selfadjoint discrete Schrödinger operators
Olivier Bourget, Diomba Sambou, Amal Taarabt
Let be a purely absolutely continuous selfadjoint operator acting on some separable infinite-dimensional Hilbert space and be a compact non-selfadjoint perturbation. We r…