On the Regularity of the Hausdorff Distance Between Spectra of Perturbed Magnetic Hamiltonians
From MaRDI portal
Publication:2841831
DOI10.1007/978-3-0348-0414-1_4zbMath1270.81086arXiv1202.5982OpenAlexW132169108MaRDI QIDQ2841831
Publication date: 30 July 2013
Published in: Spectral Analysis of Quantum Hamiltonians (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.5982
Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Integral operators (47G10) Pseudodifferential operators (47G30)
Related Items (10)
Spectral edge regularity of magnetic Hamiltonians ⋮ Sharp spectral stability for a class of singularly perturbed pseudo-differential operators ⋮ Lipschitz continuity of spectra of pseudodifferential operators in a weighted Sjöstrand class and Gabor frame bounds ⋮ Peierls’ substitution via minimal coupling and magnetic pseudo-differential calculus ⋮ Continuity of the spectra for families of magnetic operators on \(\mathbb Z^d\) ⋮ Low lying spectral gaps induced by slowly varying magnetic fields ⋮ Spectral analysis near a Dirac type crossing in a weak non-constant magnetic field ⋮ ON THE VERDET CONSTANT AND FARADAY ROTATION FOR GRAPHENE-LIKE MATERIALS ⋮ Hölder continuity of the spectra for aperiodic Hamiltonians ⋮ On the zero-field orbital magnetic susceptibility of Bloch electrons in graphene-like solids: Some rigorous results
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Magnetic pseudodifferential operators with coefficients in \(C^*\)-algebras
- On the Lipschitz continuity of spectral bands of Harper-like and magnetic Schrödinger operators
- On the measure of the spectrum for the almost Mathieu operator
- Spectral and propagation results for magnetic Schrödinger operators; a \(C^*\)-algebraic framework
- Stability of energy gaps under variations of the magnetic field
- Gauss polynomials and the rotation algebra
- Lipschitz continuity of gap boundaries for Hofstadter-like spectra
- Lipschitz continuity of the spectra of the magnetic transition operators on a crystal lattice.
- Perturbations of the rotation \(C^*\)-algebras and of the Heisenberg commutation relation
- Magnetic pseudodifferential operators
- LOCATING THE SPECTRUM FOR MAGNETIC SCHRöDINGER AND DIRAC OPERATORS
- Commutator Criteria for Magnetic Pseudodifferential Operators
- Stability of gaps for periodic potentials under variation of a magnetic field
- Harmonic Analysis in Phase Space. (AM-122)
- Opérateurs différentiels magnétiques : stabilité des trous dans le spectre, invariance du spectre essentiel et applications
- On spectral properties of Harper-like models
- Symplectic areas, quantization, and dynamics in electromagnetic fields
- On asymptotic perturbation theory for quantum mechanics: Almost invariant subspaces and gauge invariant magnetic perturbation theory
- The magnetic Weyl calculus
- On the continuity of spectra for families of magnetic pseudodifferential operators
- \(C_0\)-groups, commutator methods and spectral theory of \(N\)-body Hamiltonians
This page was built for publication: On the Regularity of the Hausdorff Distance Between Spectra of Perturbed Magnetic Hamiltonians
