Amplitude distribution of eigenfunctions in mixed systems

doi:10.1088/0305-4470/35/3/306

Amplitude distribution of eigenfunctions in mixed systems

Arnd Bäcker et al 2002 J. Phys. A: Math. Gen. 35 527-538 doi: 10.1088/0305-4470/35/3/306

PDF (543 KB) | Gzipped PS (517 KB) | References | Articles citing this article

Arnd Bäcker^1,2 and Roman Schubert³
¹ School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, UK
² BRIMS, Hewlett-Packard Laboratories, Filton Road, Bristol BS12 6QZ, UK
³ Abteilung Theoretische Physik, Universität Ulm, Albert-Einstein-Allee 11, D–89069 Ulm, Germany
E-mail: a.backer@bristol.ac.uk and roman.schubert@physik.uni-ulm.de

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 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.

PACS numbers: 03.65.Sq, 02.50.Ey, 05.45.Mt

Print publication: Issue 3 (25 January 2002)
Received 20 April 2001, in final form 14 September 2001
Published 11 January 2002

Post to CiteUlike |

Post to Connotea |

Post to Bibsonomy

Amplitude distribution of eigenfunctions in mixed systems

Find related articles

Article options

Authors & Referees