Limiting absorption principle for some long range perturbations of Dirac systems at threshold energies
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Publication:707587
DOI10.1007/s00220-010-1099-3zbMath1205.81084arXiv0906.1495OpenAlexW1995275405MaRDI QIDQ707587
Sylvain Golénia, Nabile Boussaid
Publication date: 8 October 2010
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.1495
Commutators, derivations, elementary operators, etc. (47B47) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Local spectral properties of linear operators (47A11)
Related Items (14)
Energy decay in a wave guide with dissipation at infinity ⋮ Diffraction for the Dirac-Coulomb propagator ⋮ On the spectral properties of non-selfadjoint discrete Schrödinger operators ⋮ Dispersive estimates for massive Dirac operators in dimension two ⋮ Resolvent smoothness and local decay at low energies for the standard model of non-relativistic QED ⋮ Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions ⋮ Spectral theory of first-order systems: From crystals to Dirac operators ⋮ Scattering theory for Lindblad master equations ⋮ The Dirac equation in two dimensions: dispersive estimates and classification of threshold obstructions ⋮ Limiting absorption principle for Schrödinger operators with oscillating potentials ⋮ Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians ⋮ On the global limiting absorption principle for massless Dirac operators ⋮ On spectral stability of the nonlinear Dirac equation ⋮ Abstract theory of pointwise decay with applications to wave and Schrödinger equations
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