On the theory of cavities with point-like perturbations: part II. Rectangular cavities

We consider an application of a general theory for cavities with point-like perturbations for a rectangular shape. Hereby, we concentrate on experimental wave patterns obtained for nearly degenerate states. The nodal lines in these patterns may be broken, which is an effect coming only from the expe...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2011-04, Vol.44 (13), p.135101-14
Main Authors: Tudorovskiy, T, Kuhl, U, Stöckmann, H-J
Format: Article
Language:English
Subjects:
Condensed Matter
Eigenfunctions
Exact sciences and technology
Holes
Mathematical analysis
Mesoscopic Systems and Quantum Hall Effect
Perturbation methods
Physics
Wavefunctions
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Summary:We consider an application of a general theory for cavities with point-like perturbations for a rectangular shape. Hereby, we concentrate on experimental wave patterns obtained for nearly degenerate states. The nodal lines in these patterns may be broken, which is an effect coming only from the experimental determination of the patterns. We show that a wavefunction measurement based on amovable point-like perturbation has an intrinsic limit of resolution. When shifts of resonances become comparable with level spacings, the most pronounced effect of the unavoidable mixing of eigenfunctions is a rearrangement of the experimentally obtained nodal line structure. These findings are explained within a framework of the developed theory.
ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/44/13/135101