Stability of energy gaps under variations of the magnetic field

DOI10.1007/BF00398423zbMath0607.46049MaRDI QIDQ1085407

Gheorghe Nenciu

Publication date: 1986

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

zbMATH Keywords

crystalline and amorphous solidslocation of the spectrum of the one-body Schrödinger operator is stable under small variations of the magnetic field

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Miscellaneous applications of functional analysis (46N99)

Related Items (12)

Beyond Diophantine Wannier diagrams: gap labelling for Bloch-Landau Hamiltonians ⋮ On asymptotic perturbation theory for quantum mechanics: Almost invariant subspaces and gauge invariant magnetic perturbation theory ⋮ Spectral edge regularity of magnetic Hamiltonians ⋮ On the Lipschitz continuity of spectral bands of Harper-like and magnetic Schrödinger operators ⋮ Bloch electrons in a magnetic field: Rigorous justification of the Peierls-Onsager effective Hamiltonian ⋮ On the construction of composite Wannier functions ⋮ On the atomic orbital magnetism: a rigorous derivation of the Larmor and Van Vleck contributions ⋮ Continuity of Spectra in Rieffel’s Pseudodifferential Calculus ⋮ On the Regularity of the Hausdorff Distance Between Spectra of Perturbed Magnetic Hamiltonians ⋮ On the continuity of spectra for families of magnetic pseudodifferential operators ⋮ Développements asymptotiques des perturbations lentes de l'opérateur de schrödinger Périodique ⋮ Lipschitz continuity of gap boundaries for Hofstadter-like spectra

Cites Work

• Stability of Schrödinger eigenvalue problems
• Schrödinger operators with magnetic fields. I: General interactions
• Stability of gaps for periodic potentials under variation of a magnetic field

This page was built for publication: Stability of energy gaps under variations of the magnetic field