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math-ph2017
Oscillation theory for the density of states of high dimensional random operators
Julian Grossmann, Hermann Schulz-Baldes, Carlos Villegas-Blas
Sturm-Liouville oscillation theory is studied for Jacobi operators with block entries given by covariant operators on an infinite dimensional Hilbert space. It is shown that the in…
math-ph2017★ 4 cited
Semiclassical Szegö limit of eigenvalue clusters for the hydrogen atom Zeeman Hamiltonian
Misael Avendano-Camacho, Peter D. Hislop, Carlos Villegas-Blas
We prove a limiting eigenvalue distribution theorem (LEDT) for suitably scaled eigenvalue clusters around the discrete negative eigenvalues of the hydrogen atom Hamiltonian formed…