Numerical Test of Born-Oppenheimer Approximation in Chaotic Systems

Abstract

We study the validity of the Born-Oppenheimer approximation in chaotic dynamics. Using numerical solutions of autonomous Fermi accelerators, we show that the general adiabatic conditions can be interpreted as the narrowness of the chaotic region in phase space.

5 pages, 5 figures, accepted for publication in Phys. Lett. A

References in corpus (3)

• Sufficiency Criterion for the Validity of the Adiabatic Approximation
• Tunable Fermi acceleration in the driven elliptical billiard
• Dynamical trapping and chaotic scattering of the harmonically driven barrier

Cited by in corpus (1)

• Born-Oppenheimer approximation for open quantum systems within the quantum trajectory approach