Amplitude distribution of eigenfunctions in mixed systems

A Bäcker; RCV Schubert

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

Amplitude distribution of eigenfunctions in mixed systems

A Bäcker
, RCV Schubert

Research output: Contribution to journal › Article (Academic Journal) › peer-review

35 Citations (Scopus)

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 limacon billiards is found. The natural extension of our result to more general systems, e.g. with a potential, is also discussed.

Translated title of the contribution	Amplitude distribution of eigenfunctions in mixed systems
Original language	English
Pages (from-to)	527 - 538
Number of pages	12
Journal	Journal of Physics A: Mathematical and General
Volume	35 (3)
DOIs	https://doi.org/10.1088/0305-4470/35/3/306
Publication status	Published - 25 Jan 2002

Bibliographical note

Publisher: IOP Publishing Ltd
Other identifier: IDS number 523PV

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10.1088/0305-4470/35/3/306

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title = "Amplitude distribution of eigenfunctions in mixed systems",

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 limacon billiards is found. The natural extension of our result to more general systems, e.g. with a potential, is also discussed.",

author = "A B{\"a}cker and RCV Schubert",

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year = "2002",

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T1 - Amplitude distribution of eigenfunctions in mixed systems

AU - Bäcker, A

AU - Schubert, RCV

N1 - Publisher: IOP Publishing Ltd Other identifier: IDS number 523PV

PY - 2002/1/25

Y1 - 2002/1/25

N2 - 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 limacon billiards is found. The natural extension of our result to more general systems, e.g. with a potential, is also discussed.

AB - 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 limacon billiards is found. The natural extension of our result to more general systems, e.g. with a potential, is also discussed.

U2 - 10.1088/0305-4470/35/3/306

DO - 10.1088/0305-4470/35/3/306

M3 - Article (Academic Journal)

SN - 1361-6447

VL - 35 (3)

SP - 527

EP - 538

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

ER -

Amplitude distribution of eigenfunctions in mixed systems

Abstract

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