976 citations
- Centre National de la Recherche ScientifiqueFR49 papers
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- École Polytechnique Fédérale de LausanneCH17 papers
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65 papers · 1 filter
Magnetic Pseudo-differential Operators with Hörmander Symbols Dominated by Tempered Weights
Mikkel Hviid Thorn
We extend the matrix representation of magnetic pseudo-differential operators in a tight Gabor frame from [arXiv:1804.05220, arXiv:2212.12229] to asymmetrical quantizations and smo…
Magnetic Dirac systems: Violation of bulk-edge correspondence in the zigzag limit
Loïc Le Treust, Jean-Marie Barbaroux, Horia D. Cornean +2
We consider a Dirac operator with constant magnetic field defined on a half-plane with boundary conditions that interpolate between infinite mass and zigzag. By a detailed study of…
On the self-consistent Landauer-Büttiker formalism
Horia D. Cornean, Giovanna Marcelli
We provide sufficient conditions such that the time evolution of a mesoscopic tight-binding open system with a local Hartree-Fock non-linearity converges to a self-consistent non-e…
Sharp spectral stability for a class of singularly perturbed pseudo-differential operators
Horia D. Cornean, Radu Purice
Let be a real Hörmander symbol of the type , let be a smooth function with all its derivatives globally bounded, and let…
Adiabatic Evolution of Low-Temperature Many-Body Systems
Rafael L. Greenblatt, Markus Lange, Giovanna Marcelli +1
We consider finite-range, many-body fermionic lattice models and we study the evolution of their thermal equilibrium state after introducing a weak and slowly varying time-dependen…
Feynman-Kac formula and asymptotic behavior of the minimal energy for the relativistic Nelson model in two spatial dimensions
Benjamin Hinrichs, Oliver Matte
We consider the renormalized relativistic Nelson model in two spatial dimensions for a finite number of spinless, relativistic quantum mechanical matter particles in interaction wi…