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CENTER FOR APPLIED MATHEMATICS AND THEORETICAL PHYSICS
UNIVERZA V MARIBORU UNIVERSITY OF MARIBOR
KREKOVA 2 SI-2000 MARIBOR SLOVENIA
Phone +(386) (2) 2355 350 and 2355 351 $\bullet$ Fax +(386) (2) 2355 360
Robnik@uni-mb.si $\bullet$ www.camtp.uni-mb.si
PROF.DR. MARKO ROBNIK, DIRECTOR

Seminarsko predavanje
Centra za uporabno matematiko in teoreticno fiziko

Statistical properties of eigenfunctions in systems with a mixed phase space

Dr. Arnd Bäcker

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


Abstract We study the amplitude distribution of irregular eigenfunctions in systems with mixed classical phase space. For an appropriately restricted random wave model a theoretical prediction for the amplitude distribution is derived and good agreement with numerical computations for the family of limacon billiards is found. The natural extension of our result to more general systems, e.g. with a potential, is also discussed.
Reference:A. Bäcker and R. Schubert: Amplitude distribution of eigenfunctions in mixed systems, BRIMS Report HPL-BRIMS-00-10, April 2001, 13 pp.
http://www.physik.uni-ulm.de/theo/qc/baec/

Seminarsko predavanje bo v torek, 11. decembra 2001 ob 15:15 uri v se- minarski sobi CAMTP, Krekova 2, pritlicje. Vljudno vabljeni vsi zainteresirani, tudi študentje.

Prof.Dr. Marko Robnik
-- Direktor CAMTP --