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math.SP2011★ 16 cited
Asymptotic Density of Eigenvalue Clusters for the Perturbed Landau Hamiltonian
Alexander Pushnitski, Georgi Raikov, Carlos Villegas-Blas
We consider the Landau Hamiltonian (i.e. the 2D Schroedinger operator with constant magnetic field) perturbed by an electric potential V which decays sufficiently fast at infinity.…
math-ph2011
Semiclassical Szego limit of resonance clusters for the hydrogen atom Stark Hamiltonian
Peter D. Hislop, Carlos Villegas-Blas
We study the weighted averages of resonance clusters for the hydrogen atom with a Stark electric field in the weak field limit. We prove a semiclassical Szego-type theorem for reso…