On the continuity of spectra for families of magnetic pseudodifferential operators

DOI10.1063/1.3470118zbMath1312.81059arXiv0912.0652OpenAlexW2122951146MaRDI QIDQ5253726

Nassim Athmouni, Radu Purice, Marius Măntoiu

Publication date: 27 May 2015

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

Full work available at URL: https://arxiv.org/abs/0912.0652

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Fourier integral operators applied to PDEs (35S30)

Related Items (15)

A calculus for magnetic pseudodifferential super operators ⋮ On Persson's formula: an étale groupoid approach ⋮ Spectral edge regularity of magnetic Hamiltonians ⋮ Magnetic pseudodifferential operators represented as generalized Hofstadter-like matrices ⋮ 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 ⋮ Canonical quantization of constants of motion ⋮ Continuity of the spectra for families of magnetic operators on \(\mathbb Z^d\) ⋮ Low lying spectral gaps induced by slowly varying magnetic fields ⋮ Rieffel's pseudodifferential calculus and spectral analysis of quantum Hamiltonians ⋮ Spectral analysis near a Dirac type crossing in a weak non-constant magnetic field ⋮ The Peierls-Onsager effective Hamiltonian in a complete gauge covariant setting: determining the spectrum ⋮ The model magnetic Laplacian on wedges ⋮ Continuity of Spectra in Rieffel’s Pseudodifferential Calculus ⋮ On the Regularity of the Hausdorff Distance Between Spectra of Perturbed Magnetic Hamiltonians

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