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math-ph2019★ 1 cited
Perturbations of the Landau Hamiltonian: Asymptotics of eigenvalue clusters
G. Hernandez-Duenas, S. Pérez-Esteva, A. Uribe +1
We consider the asymptotic behavior of the spectrum of the Landau Hamiltonian plus a rapidly decaying potential, as the magnetic field strength, , tends to infinity. After a sui…
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…
math-ph2007★ 1 cited
A uniform quantum version of the Cherry theorem
Carlos Villegas Blas, Sandro Graffi
Consider in the operator family . is the quantum harmonic oscillator with diophantine frequency vector $\om$, a bounded pseudodiffe…