154 citations · 433 across the 26 of their papers we have counts for
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Spectral asymptotics of all the eigenvalues of Schrödinger operators on flat tori
Dario Bambusi, Beatrice Langella, Riccardo Montalto
We study Schrödinger operators with Floquet boundary conditions on flat tori obtaining a spectral result giving an asymptotic expansion of all the eigenvalues. The expansion is in…
On the spectrum of the Schrödinger operator on : a normal form approach
Dario Bambusi, Beatrice Langella, Riccardo Montalto
In this paper we study the spectrum of the operator \begin{equation} \label{ope} H:=(-Δ)^{M/2}+\mathcal{V}\ , \quad M>0\ , \end{equation} on , with a maxim…
Reducibility of non-resonant transport equation on with unbounded perturbations
Dario Bambusi, Beatrice Langella, Riccardo Montalto
We prove reducibility of a transport equation on the -dimensional torus with a time quasi-periodic unbounded perturbation. As far as we know this is the first example of a…
Reducibility of 1-d Schrödinger equation with unbounded time quasiperiodic perturbations, III
Dario Bambusi, Riccardo Montalto
In this paper we study reducibility of time quasiperiodic perturbations of the quantum harmonic or anharmonic oscillator in one space dimension. We modify known algorithms obtainin…