21 citations · 29 across the 7 of their papers we have counts for
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math-ph2017★ 21 cited
A perturbation theory approach to the stability of the Pais-Uhlenbeck oscillator
Misael Avendaño-Camacho, José A. Vallejo, Yury Vorobiev
We present a detailed analysis of the orbital stability of the Pais-Uhlenbeck oscillator, using Lie-Deprit series and Hamiltonian normal form theories. In particular, we explicitly…
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…