Essential spectrum of perturbed pseudodifferential operators. Applications to the Schrödinger, Klein-Gordon, and Dirac operators
From MaRDI portal
Publication:820284
zbMath1153.47042MaRDI QIDQ820284
Publication date: 6 April 2006
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
Pseudodifferential operators as generalizations of partial differential operators (35S05) General topics in linear spectral theory for PDEs (35P05) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Schrödinger operator, Schrödinger equation (35J10) Pseudodifferential operators (47G30)
Related Items (28)
Two-dimensional Dirac operators with interactions on unbounded smooth curves ⋮ Boundary problems for three-dimensional Dirac operators and generalized MIT bag models for unbounded domains ⋮ CMV matrices: Five years after ⋮ Essential spectrum of Schrödinger operators on periodic graphs ⋮ Fredholm property and essential spectrum of 3-D Dirac operators with regular and singular potentials ⋮ On the essential spectrum of magnetic pseudodifferential operators ⋮ On the essential spectrum of quantum graphs ⋮ Dirac operators with singular potentials supported on unbounded surfaces in \(\mathbb{R}^3 \) ⋮ Dirac operators with delta-interactions on smooth hypersurfaces in \(\mathbb{R}^n\) ⋮ Dirac operators on infinite quantum graphs ⋮ Localization results for zero order pseudodifferential operators ⋮ Electromagnetic Schrödinger operators on periodic graphs with general conditions at vertices ⋮ Fredholm property and essential spectrum of pseudodifferential operators with operator-valued symbols ⋮ Interaction problems on periodic hypersurfaces for Dirac operators on \(\mathbb{R}^n \) ⋮ Pseudodifferential operators on periodic graphs ⋮ Natural boundaries and spectral theory ⋮ Essential spectrum of Schrödinger operators with \(\delta\)-interactions on unbounded hypersurfaces ⋮ Dirac Operators on $$ \mathbb {R}$$ with General Point Interactions ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ The essential spectrum of Schrödinger, Jacobi, and CMV operators ⋮ On the essential spectrum of quantum waveguides ⋮ Invertibility of Helmholtz operators for nonhomogeneous medias ⋮ Spectral and propagation results for magnetic Schrödinger operators; a \(C^*\)-algebraic framework ⋮ Elliptic differential operators on infinite graphs with general conditions on vertices ⋮ Essential spectrum of Schrödinger operators with 𝛿 and 𝛿^{′}-interactions on systems of unbounded smooth hypersurfaces in ℝⁿ ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ On boundary integral operators for diffraction problems on graphs with finitely many exits at infinity ⋮ Integral equations of diffraction problems with unbounded smooth obstacles
This page was built for publication: Essential spectrum of perturbed pseudodifferential operators. Applications to the Schrödinger, Klein-Gordon, and Dirac operators