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math-ph2022★ 9 cited
Quantum statistics transmutation via magnetic flux attachment
Gaultier Lambert, Douglas Lundholm, Nicolas Rougerie
We consider a model for two types (bath and tracers) of 2D quantum particles in a perpendicular magnetic field. Interactions are short range and inter-species, and we assume that t…
math-ph2021
Universality for free fermions and the local Weyl law for semiclassical Schrödinger operators
Alix Deleporte, Gaultier Lambert
We study local asymptotics for the spectral projector associated to a Schrödinger operator on in the semiclassical limit as . We prove local…