Scattering theory for some non-self-adjoint operators

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Scattering theory for PDEs (35P25) General spectral theory of ordinary differential operators (34L05) Schrödinger operator, Schrödinger equation (35J10) Resonance in context of PDEs (35B34) Scattering theory of linear operators (47A40)

Cites Work

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Unified theory of nuclear reactions
Scattering theory for wave equations with dissipative terms
Phase space analysis of simple scattering systems: extensions of some work of Enss
Asymptotic completeness in dissipative scattering theory
Time-decay of semigroups generated by dissipative Schrödinger operators
Large time behavior of solutions to Schrödinger equation with complex-valued potential
Gevrey estimates of the resolvent and sub-exponential time-decay for the heat and Schrödinger semigroups
Scattering matrices for dissipative quantum systems
Complete wave operators in nonselfadjoint Kato model of smooth perturbation theory
Wave operators and similarity for some non-selfadjoint operators
On the large perturbation by a class of non-selfadjoint operators
Scattering theory with two Hilbert spaces
Perturbation of non-selfadjoint operators. I
Perturbation of non-selfadjoint operators. II
A unified theory of nuclear reactions. II
On the number of eigenvalues of Schrödinger operators with complex potentials
Non-Selfadjoint Operators in Quantum Physics
Complex Potentials: Bound States, Quantum Dynamics and Wave Operators
One-Parameter Semigroups for Linear Evolution Equations
Partial inner product spaces, metric operators and generalized hermiticity
A Dispersive Bound for Three-Dimensional Schrödinger Operators with Zero Energy Eigenvalues
Generic nature of asymptotic completeness in dissipative scattering theory
Mathematical Theory of Scattering Resonances
Eigenfunction expansions associated with the Schrödinger operator with a complex potential and the scattering inverse problem
Neutron Capture and Nuclear Constitution
Model for Nuclear Reactions with Neutrons
Spectral decomposition of some non-self-adjoint operators

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