Chaos pp 169-191 | Cite as

Chaos in Microwave Resonators

Chapter
First Online:
Part of the Progress in Mathematical Physics book series (PMP, volume 66)

Abstract

Chaotic billiards are a paradigm of quantum chaos studied theoretically in numerous papers. In flat microwave resonators with cross-sections mimicking the billiard shape there is a one-to-one correspondence between the stationary Schrödinger equation and the Helmholtz equation. This allows an experimental access to questions hitherto studied exclusively theoretically. In the article various aspects of quantum chaos are presented and illustrated by experimental results. It continues with a discussion of random matrices and the universal features of wave functions of chaotic billiards. Next, semiclassical quantum mechanics is introduced, establishing a link between the quantummechanical Green function and the classical trajectories. The article ends with a presentation of recent applications of wave-chaos research.

Keywords

Chaotic System Classical Trajectory Random Matrix Theory American Physical Society Quantum Chaos 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer Basel 2013

Authors and Affiliations

  1. 1.Fachbereich Physik der Philipps-Universität MarburgMarburgGermany

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