1997/08/29 by G. Abal, Abal, G., A. J. Pereira +6
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Nuclear physics research studies #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics #chao-dyn #nlin.CD
paper · pdf · doi:10.48550/arxiv.chao-dyn/9709001
6 pages, standard LaTeX, submitted to Phys. Lett. A
arxiv created 1997/08/29 · openalex publication_date 1997/08/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Quantum systems with chaotic classical counterparts cannot be treated by perturbative techniques or any kind of adiabatic approximations. This is so, in spite of the quantum suppression of classical chaos. We explicitly calculate the adiabaticity parameter for the case of a Fermi Accelerator and show that the adiabatic expansion of the evolution operator is divergent. The relevance of this situation for the understanding of quantal effects in the one body dissipation mechanism in nuclear reactions is briefly discussed.