The Quantum Adiabatic Approximation in Chaotic Systems

Details The Quantum Adiabatic Approximation in Chaotic Systems The Quantum Adiabatic Approximation in Chaotic Systems

1997-08-29

arxiv.org/abs/chao-dyn/9709001v1

Nonlinear Sciences

Chaotic Dynamics

6 pages, standard LaTeX, submitted to Phys. Lett. A

Scientific paper

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.

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