Asymptotic boundary layer method for unstable trajectories : Semiclassical expansions for individual scar wavefunctions.

Vagov, A. and Schomerus, Henning and Zalipaev, V. (2009) Asymptotic boundary layer method for unstable trajectories : Semiclassical expansions for individual scar wavefunctions. Physical Review E, 80 (5). 056202. ISSN 1539-3755

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Abstract

We extend the asymptotic boundary layer (ABL) method, originally developed for stable resonator modes, to the description of individual wave functions localized around unstable periodic orbits. The formalism applies to the description of scar states in fully or partially chaotic quantum systems, and also allows for the presence of smooth and sharp potentials, as well as magnetic fields. We argue that the separatrix wave function provides the largest contribution to the scars on a single wave function. This agrees with earlier results on the wave-function asymptotics and on the quantization condition of the scar states. Predictions of the ABL formalism are compared with the exact numerical solution for a strip resonator with a parabolic confinement potential and a magnetic field.

Item Type: Journal Article
Journal or Publication Title: Physical Review E
Uncontrolled Keywords: /dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 30798
Deposited By: Dr Henning Schomerus
Deposited On: 07 Dec 2009 09:12
Refereed?: Yes
Published?: Published
Last Modified: 21 Sep 2019 23:31
URI: https://eprints.lancs.ac.uk/id/eprint/30798

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