Reducibility of the Quantum Harmonic Oscillator in $d$-dimensions with Polynomial Time Dependent Perturbation
Analysis of PDEs
2018-03-16 v2 Mathematical Physics
math.MP
Abstract
We prove a reducibility result for a quantum harmonic oscillator in arbitrary dimensions with arbitrary frequencies perturbed by a linear operator which is a polynomial of degree two in , with coefficients which depend quasiperiodically on time.
Keywords
Cite
@article{arxiv.1702.05274,
title = {Reducibility of the Quantum Harmonic Oscillator in $d$-dimensions with Polynomial Time Dependent Perturbation},
author = {Dario Bambusi and Benoit Grebert and Alberto Maspero and Didier Robert},
journal= {arXiv preprint arXiv:1702.05274},
year = {2018}
}
Comments
fixed some misprints