Numerical Test of Born-Oppenheimer Approximation in Chaotic Systems
Jeong-Bo Shim, Mahir S. Hussein, Martina Hentschel
TL;DR
This paper investigates the validity of the Born-Oppenheimer approximation within chaotic systems by numerically analyzing autonomous Fermi accelerators, revealing that adiabatic conditions relate to the phase space's chaotic region width.
Contribution
It provides a numerical test of the Born-Oppenheimer approximation in chaotic dynamics and links adiabatic conditions to phase space properties.
Findings
Adiabatic conditions correspond to narrow chaotic regions in phase space.
Numerical solutions support the interpretation of the Born-Oppenheimer approximation in chaotic systems.
Chaotic dynamics influence the validity of the approximation.
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.
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