Accumulation of resonances in the Fermi Accelerator: a quantum route to chaos?

G Abal, A Romanelli, A.C.Sicardi Schifino, R Siri and R Donangelo

Physica A: Statistical Mechanics and its Applications, 1999, vol. 272, issue 1, 87-98

Abstract: We discuss the applicability of the adiabatic theory to the quantum version of a classically chaotic system using as an example the Fermi Accelerator. The behavior of this system is analyzed for different values of the characteristic action of the system. We derive an analytical expression for the system resonances and observe that a transition between the adiabatic and diffusive regime takes place when the quantum resonances of the system accumulate. The situation is thus formally similar to the classical transition to chaos by resonance overlap, described by Chirikov's criterion.

Keywords: Adiabatic approximation; Dissipative systems; Quantum chaos; Quantum localization (search for similar items in EconPapers)
Date: 1999
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437199001880
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:272:y:1999:i:1:p:87-98

DOI: 10.1016/S0378-4371(99)00188-0

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().