Scattering from a Ring Graph - A~Simple Model for the Study of Resonances

• Authors: D. Waltner , U. Smilansky
• Languages of publication: EN

Abstracts

EN

Scattering from the very simple ring graph is shown to display several basic features which underlie the complex (chaotic) phenomena observed in scattering from more complex graphs. In particular we demonstrate the appearance of arbitrarily narrow resonances - the "topological resonances" which are directly linked to the existence of cycles. We use the ring graph to study the response of such resonances to perturbations induced by a time-dependent random noise.

Keywords

EN

05.40.Ca; 05.45.Mt; 03.65.Sq; 02.10.Ox

Discipline

• 05.40.Ca: Noise
• 03.65.Sq: Semiclassical theories and applications
• 02.10.Ox: Combinatorics; graph theory
• 05.45.Mt: Quantum chaos; semiclassical methods

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2013
• Volume: 124
• Issue: 6
• Pages: 1087-1090

Dates

published

2013-12

Contributors

author

D. Waltner

• Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot, Israel

author

U. Smilansky

• Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot, Israel
• School of Mathematics, Cardiff University, Cardiff, Wales, UK

References

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Identifiers

DOI

10.12693/APhysPolA.124.1087