Absence of singular spectrum for Schrödinger operators with anisotropic potentials and magnetic fields

DOI10.1063/1.533267zbMath0987.81025OpenAlexW2025264218MaRDI QIDQ2737963

Marius Măntoiu, Serge Richard

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.533267

zbMATH Keywords

spectral propertieslimiting absorption principle

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Applications of operator theory in the physical sciences (47N50) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (5)

Stability of the Magnetic Schrödinger Operator in a Waveguide ⋮ Spectral analysis for perturbed operators on Carnot groups ⋮ Spectral analysis for convolution operators on locally compact groups ⋮ Some improvements in the method of the weakly conjugate operator ⋮ Abstract theory of pointwise decay with applications to wave and Schrödinger equations

Cites Work

• Best constants in some operator smoothness estimates
• The bound state of weakly coupled Schrödinger operators in one and two dimensions
• Schrödinger operators with magnetic fields. I: General interactions
• Notes on some inequalities for linear operators
• Limiting absorption principle for schrödinger hamiltonians with magnetic fields
• SOME EXAMPLES OF SMOOTH OPERATORS AND THE ASSOCIATED SMOOTHING EFFECT

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