Quantum revivals in two degrees of freedom integrable systems : the torus case

Olivier Lablée (1)

1 IF - Institut Fourier

The paper deals with the semi-classical behaviour of quantum dynamics for a semi-classical completely integrable system with two degrees of freedom near Liouville regular torus. The phenomomenon of wave packet revivals is demonstrated in this article. The framework of this paper is semi-classical analysis (limit : ). For the proofs we use standard tools of real analysis, Fourier analysis and basic analytic number theory.

Domaines: Théorie spectrale [math.SP]; Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Olivier Lablée. Quantum revivals in two degrees of freedom integrable systems : the torus case. 2010. ⟨hal-00514094⟩