The Experts below are selected from a list of 201 Experts worldwide ranked by ideXlab platform
Erik Skibsted - One of the best experts on this subject based on the ideXlab platform.
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Time-dependent Scattering Theory on manifolds
Journal of Functional Analysis, 2019Co-Authors: Kenichi Ito, Erik SkibstedAbstract:Abstract This is the third and the last paper in a series of papers on spectral and Scattering Theory for the Schrodinger operator on a manifold possessing an escape function, for example a manifold with asymptotically Euclidean and/or hyperbolic ends. Here we discuss the time-dependent Scattering Theory. A long-range perturbation is allowed, and Scattering by obstacles, possibly non-smooth and/or unbounded in a certain way, is included in the Theory. We also resolve a conjecture by Hempel–Post–Weder on cross-ends transmissions between two or more ends, formulated in a time-dependent manner.
David Colton - One of the best experts on this subject based on the ideXlab platform.
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Looking Back on Inverse Scattering Theory
SIAM Review, 2018Co-Authors: David Colton, Rainer KressAbstract:We present an essay on the mathematical development of inverse Scattering Theory for time-harmonic waves over the past fifty years together with some personal memories of our participation in these...
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Peter Monk and inverse Scattering Theory
Computers & Mathematics with Applications, 2017Co-Authors: David ColtonAbstract:Abstract Peter Monk has made numerous significant contributions to the field of inverse Scattering Theory. In the following I try to highlight Peter’s most significant achievements in this area with emphasis on the renaissance that took place in the mathematical and numerical treatment of inverse Scattering problems that began in the mid 1980s.
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recent developments in inverse acoustic Scattering Theory
Siam Review, 2000Co-Authors: David Colton, Joe Coyle, Peter MonkAbstract:We survey some of the highlights of inverse Scattering Theory as it has developed over the last 15 years, with emphasis on uniqueness theorems and reconstruction algorithms for time harmonic acoustic waves. Included in our presentation are numerical experiments using real data and numerical examples of the use of inverse Scattering methods to detect buried objects.
Kenichi Ito - One of the best experts on this subject based on the ideXlab platform.
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Time-dependent Scattering Theory on manifolds
Journal of Functional Analysis, 2019Co-Authors: Kenichi Ito, Erik SkibstedAbstract:Abstract This is the third and the last paper in a series of papers on spectral and Scattering Theory for the Schrodinger operator on a manifold possessing an escape function, for example a manifold with asymptotically Euclidean and/or hyperbolic ends. Here we discuss the time-dependent Scattering Theory. A long-range perturbation is allowed, and Scattering by obstacles, possibly non-smooth and/or unbounded in a certain way, is included in the Theory. We also resolve a conjecture by Hempel–Post–Weder on cross-ends transmissions between two or more ends, formulated in a time-dependent manner.
Rainer Kress - One of the best experts on this subject based on the ideXlab platform.
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Looking Back on Inverse Scattering Theory
SIAM Review, 2018Co-Authors: David Colton, Rainer KressAbstract:We present an essay on the mathematical development of inverse Scattering Theory for time-harmonic waves over the past fifty years together with some personal memories of our participation in these...
Baptiste Schubnel - One of the best experts on this subject based on the ideXlab platform.
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Scattering Theory for Lindblad Master Equations
Communications in Mathematical Physics, 2017Co-Authors: Marco Falconi, Jürg Fröhlich, Jérémy Faupin, Baptiste SchubnelAbstract:We study Scattering Theory for a quantum-mechanical system consisting of a particle scattered off a dynamical target that occupies a compact region in position space. After taking a trace over the degrees of freedom of the target, the dynamics of the particle is generated by a Lindbladian acting on the space of trace-class operators. We study Scattering Theory for a general class of Lindbladians with bounded interaction terms. First, we consider models where a particle approaching the target is always re-emitted by the target. Then we study models where the particle may be captured by the target. An important ingredient of our analysis is a Scattering Theory for dissipative operators on Hilbert space.
