CENTER FOR APPLIED MATHEMATICS AND THEORETICAL PHYSICS
UNIVERZA V MARIBORU UNIVERSITY OF MARIBOR
KREKOVA 2 SI-2000 MARIBOR SLOVENIA
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Robnik@uni-mb.si $\bullet$ www.camtp.uni-mb.si
PROF.DR. MARKO ROBNIK, DIRECTOR

Seminarsko predavanje
Centra za uporabno matematiko in teoreticno fiziko

Autocorrelation function of eigenstates in chaotic and mixed systems

Dr. Arnd Bäcker

Abteilung für Theoretische Physik
Universität Ulm
Albert Einstein-Allee 11, D-89069 Ulm, Germany

Abstract We study the autocorrelation function of different types of eigenfunctions in quantum mechanical systems with either chaotic or mixed classical limits. We obtain an expansion of the autocorrelation function in terms of the correlation length. For localized states, like bouncing ball modes or states living on tori, a simple model using only classical input gives good agreement with the exact result. In particular, a prediction for irregular eigenfunctions in mixed systems is derived and tested. For chaotic systems, the expansion of the autocorrelation function can be used to test quantum ergodicity on different length scales.
Reference:A. Bäcker and R. Schubert: Autocorrelation function of eigenstates in chaotic and mixed systems, BRIMS Report HPL-BRIMS-00-11, April 2001, 30 pp.
http://www.physik.uni-ulm.de/theo/qc/baec/

Seminarsko predavanje bo v sredo, 12. decembra 2001 ob 15:15 uri v se- minarski sobi CAMTP, Krekova 2, pritlicje. Vljudno vabljeni vsi zainteresirani, tudi študentje.

Prof.Dr. Marko Robnik
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