Wave functions with localizations on classical periodic orbits in weakly perturbed quantum billiards

C. C. Liu, T. H. Lu, Y. F. Chen, K. F. Huang

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We analytically investigate quantum wave functions with localizations on classical periodic orbits (POs) in the circular billiards. We construct the coherent states which are the coherent superpositions of nearly degenerate eigenstates and found to be localized around single classical POs. With the constructed coherent states, we can analytically express the mesoscopic eigenstates in the weakly perturbed systems, which are found to be localized on the ensemble of classical POs. Furthermore, these coherent states can be utilized to study the quantum vortex structures in quantum billiards.

Original languageEnglish
Article number046214
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume74
Issue number4
DOIs
Publication statusPublished - 2006 Jan 1

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Orbit
Billiards
Coherent States
Wave Function
Periodic Orbits
wave functions
orbits
eigenvectors
Perturbed System
Superposition
Vortex
Ensemble
Express
vortices

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Wave functions with localizations on classical periodic orbits in weakly perturbed quantum billiards. / Liu, C. C.; Lu, T. H.; Chen, Y. F.; Huang, K. F.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 74, No. 4, 046214, 01.01.2006.

Research output: Contribution to journalArticle

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