Sharp trace asymptotics for a class of 2D-magnetic operators
Sharp trace asymptotics for a class of 2D-magnetic operators
In this paper we prove a two-term asymptotic formula for the spectral counting function for a 2D magnetic Schrödinger operator on a domain (with Dirichlet boundary conditions) in a semiclassical limit and with strong magnetic field. By scaling, this is equivalent to a thermodynamic limit of a 2D Fermi gas …