Arnd Bäcker and Roman Schubert 2002 J. Phys. A: Math. Gen. 35 527 doi:10.1088/0305-4470/35/3/306
Arnd Bäcker1,2 and Roman Schubert3
Show affiliationsWe 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 a good agreement with numerical computations for the family of limaçon billiards is found. The natural extension of our result to more general systems, e.g. with a potential, is also discussed.
03.65.Sq Semiclassical theories and applications
81S30 Phase space methods including Wigner distributions, etc.
81Q20 Semiclassical techniques including WKB and Maslov methods
Issue 3 (25 January 2002)
Received 20 April 2001, in final form 14 September 2001
Published 11 January 2002
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