35 citations · 57 across the 17 of their papers we have counts for
3 papers · 2 filters
Growth of Sobolev norms for completely resonant quantum harmonic oscillators on
Beatrice Langella, Alberto Maspero, Maria Teresa Rotolo
We consider time dependently perturbed quantum harmonic oscillators in : $$ {\rm i} \partial_t u=\frac12(-\partial_{x_1}^2-\partial_{x_2}^2 + x_1^2+x_2^2)u +V(t, x, D…
Globally integrable quantum systems and their perturbations
Dario Bambusi, Beatrice Langella
In this paper we present the notion of globally integrable quantum system that we introduced in [BL22]: we motivate it using the spectral theory of pseudodifferential operators and…
Almost global existence for some Hamiltonian PDEs on manifolds with globally integrable geodesic flow
Dario Bambusi, Roberto Feola, Beatrice Langella +1
In this paper we prove an abstract result of almost global existence for small and smooth solutions of some semilinear PDEs on Riemannian manifolds with globally integrable geodesi…