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On the quantum Fermi accelerator and its relevance to ‘quantum chaos’

✍ Scribed by G. Karner

Publisher
Springer
Year
1989
Tongue
English
Weight
502 KB
Volume
17
Category
Article
ISSN
0377-9017

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✦ Synopsis

We discuss a quantum version of the Fermi acceleration model, which consists of a particle bouncing between a fixed and oscillating wall. The actual movement of the particle crucially depends on the boundary conditions of the Schr6dinger equation. Under Dirichlet boundary conditions, the quantum system displays a regular behaviour, but its classical limit exhibits some unphysical attributes. Only for certain initial conditions does it correspond to the stable motion of a ball bouncing once for an integer number of wall oscillations. In the classical model that situation gives rise to regular islands imbedded in the chaotic sea.

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