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
Arnd Bäcker and Roman Schubert 2002 J. Phys. A: Math. Gen. 35 527
R J Radwanski 1987 J. Phys. F: Met. Phys. 17 267
Nikodem J Popławski 2006 Class. Quantum Grav. 23 2011
Pia Astone et al 1994 Class. Quantum Grav. 11 2093
A Hizal 1978 J. Phys. D: Appl. Phys. 11 261
Xiaobing Fan et al 2006 Phys. Med. Biol. 51 211
L O Becerra et al 2006 Metrologia 43 426
E G Kalnins and W Miller Jr 1982 J. Phys. A: Math. Gen. 15 2699
Margaret Cheney and Robert J Bonneau 2004 Inverse Problems 20 1691
John W Norbury 1998 Eur. J. Phys. 19 143