## 3 Citations

Spectral decomposition of some non-self-adjoint operators

- Mathematics
- 2022

Abstract. We consider non-self-adjoint operators in Hilbert spaces of the form H = H0 +CWC, where H0 is self-adjoint, W is bounded and C is a metric operator, C bounded and relatively compact with…

Large time behavior of solutions to Schrödinger equation with complex-valued potential

- MathematicsJournal de Mathématiques Pures et Appliquées
- 2021

Generic nature of asymptotic completeness in dissipative scattering theory

- Mathematics, Physics
- 2020

We review recent results obtained in the scattering theory of dissipative quantum systems representing the long-time evolution of a system $S$ interacting with another system $S'$ and susceptible of…

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In this paper we study the existence of scattering solutions for some dissipative systems which contain elastic wave with dissipative boundary conditions in a half space of R3 (cf. Dermenjian-Guillot…

Scattering Theory for Lindblad Master Equations

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- Mathematics
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- Mathematics
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The present paper is devoted to a detailed description of the results summarized in the author's preceding note [1]. The purpose °f [1] was a generalization to the non-selfadjoint case of the…

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- Physics, Mathematics
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We study some qualitative properties of the scattering operator for a two-channel Hamiltonian which describes elastic neutron scattering from a heavy nucleus. Conditions are given under which the…

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- MathematicsAsymptot. Anal.
- 2014

We determine the range of the incoming wave operator for the pair of operators $(-\Delta, -\Delta + V_1(x) - i\epsilon V_2(x))$ on $L^2(\bR^n)$ under the conditions $n\ge 3$ and $0$ is a regular…

Multiple commutator estimates and resolvent smoothness in quantum scattering theory

- Mathematics
- 1984

We develop an abstract theory of multiple commutator estimates for a self-adjoint operator H and a suitable conjugate operator A which gives C k smoothness of the resolvent as a function of the…

Spectral Theory and Differential Operators

- MathematicsOxford Scholarship Online
- 2018

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