scientific article

zbMath0536.47007MaRDI QIDQ3320954

Hellmut Baumgärtel, Manfred Wollenberg

Publication date: 1983

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

scattering matrixscattering amplitudequantum fieldsscattering operatorsalgebras of asymptotic constantsexistence and completeness of wave operatorsLax-Phillips type evolutionsmultichannel scattering systemsmultiplicity theoryself-adjoint operators in Hilbert spacesspectral representation of self-adjoint operators in direct integrals of Hilbert spacestwo-space frameworkwave algebra

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) (n)-body potential quantum scattering theory (81U10) (2)-body potential quantum scattering theory (81U05) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Scattering theory of linear operators (47A40)

Related Items (50)

Interpolating Asymptotic Constants for the Poincaré Group, in Particular on Fock Space ⋮ Scattering matrices and Dirichlet-to-Neumann maps ⋮ Limiting absorption principle, generalized eigenfunctions, and scattering matrix for Laplace operators with boundary conditions on hypersurfaces ⋮ On pairs of projections in a Hilbert space ⋮ A note on the modular conjugations for local algebras of observables ⋮ Spectral and scattering properties at thresholds for the Laplacian in a half-space with a periodic boundary condition ⋮ Topological invariance of the Witten index ⋮ Lax--Phillips evolutions in quantum mechanics and two-space scattering. ⋮ Dissipative Schrödinger–Poisson systems ⋮ New expressions for the wave operators of Schrödinger operators in \(\mathbb R^3\) ⋮ Generalized wave operators in space with an indefinite metric ⋮ On Birman's sequence of Hardy-Rellich-type inequalities ⋮ Scattering theory with both regular and singular perturbations ⋮ Scattering theory for open quantum systems with finite rank coupling ⋮ Quantum walks with an anisotropic coin. I: Spectral theory ⋮ Sturm-Liouville boundary value problems with operator potentials and unitary equivalence ⋮ Light-front puzzles ⋮ Scattering matrices and Weyl functions of quasi boundary triples ⋮ On spectral theory for Schrödinger operators with operator-valued potentials ⋮ A few results on Mourre theory in a two-Hilbert spaces setting ⋮ A characteristic decay semigroup for the resonances of trace class perturbations with analyticity conditions of semibounded Hamiltonians ⋮ On Eisenbud's and Wigner's \(R\)-matrix: A general approach ⋮ Lax-Phillips scattering theory and well-posed linear systems: a coordinate-free approach ⋮ Non-compact quantum graphs with summable matrix potentials ⋮ On the inverse problem of a dissipative scattering theory. II ⋮ Boundary uniqueness of harmonic functions and spectral subspaces of operator groups ⋮ Scattering of particles bounded to an infinite planar curve ⋮ Gamow vectors for resonances: a Lax-Phillips point of view ⋮ Scattering theory for the Laplacian on manifolds with bounded curvature ⋮ Unnamed Item ⋮ Spectral theory for Schrödinger operators with \(\delta\)-interactions supported on curves in \(\mathbb {R}^3\) ⋮ Donoghue-type \(m\)-functions for Schrödinger operators with operator-valued potentials ⋮ On a variant of abstract scattering theory in terms of quadratic forms ⋮ Hardy class functions for potential scattering and decay ⋮ Asymptotic completeness and S-matrix for singular perturbations ⋮ Boundary triplets, tensor products and point contacts to reservoirs ⋮ On the global limiting absorption principle for massless Dirac operators ⋮ Trace Formulae for Dissipative and Coupled Scattering Systems ⋮ Spectral and scattering properties of quantum walks on homogenous trees of odd degree ⋮ Abstract theory of pointwise decay with applications to wave and Schrödinger equations ⋮ Heat flux in general quasifree fermionic right mover/left mover systems ⋮ Scattering problem in the theory of singular perturbations of self-adjoint operators ⋮ Scattering theory in a pair of spaces ⋮ Théorie spectrale de quelques variétés à bouts ⋮ Explicit formula for Schrödinger wave operators on the half-line for potentials up to optimal decay ⋮ Inverse spectral theory for symmetric operators with several gaps: scalar-type Weyl functions ⋮ Point-like perturbation of Rashba Hamiltonian ⋮ Resonances of quantum mechanical scattering systems and Lax–Phillips scattering theory ⋮ The \(\Xi\) operator and its relation to Krein's spectral shift function ⋮ A class of nontrivial weakly local massive Wightman fields with interpolating properties

This page was built for publication: