D. Bambusi

activity

19982020

most citedBoundary effects on the dynamics of chains of coupled oscillators

12 citations · 20 across the 10 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math-ph2018

Reducibility of non-resonant transport equation on $T^{d}$ with unbounded perturbations

Dario Bambusi, Beatrice Langella, Riccardo Montalto

We prove reducibility of a transport equation on the $d$ -dimensional torus $T^{d}$ with a time quasi-periodic unbounded perturbation. As far as we know this is the first example of a…

math-ph2018

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…

math-ph2018

Absolute continuity of the spectrum of coupled identical systems on 1D lattices

Beatrice Langella, Dario Bambusi

We prove that the spectrum of the discrete Schrödinger operator on $ℓ^{2} (Z^{2})$ , $(ψ_{n, m}) \mapsto - (ψ_{n + 1, m} + ψ_{n - 1, m} + ψ_{n, m + 1} + ψ_{n, m - 1}) + V_{n} ψ_{n, m}$ is absolutely continuo…

Reducibility of non-resonant transport equation on Td with unbounded perturbations

Reducibility of 1-d Schrödinger equation with unbounded time quasiperiodic perturbations, III

Absolute continuity of the spectrum of coupled identical systems on 1D lattices

Reducibility of non-resonant transport equation on $T^{d}$ with unbounded perturbations