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Quantum graphs: Applications to quantum chaos and universal spectral statistics

✍ Scribed by Gnutzmann∥, Sven; Smilansky, Uzy

Book ID
118736555
Publisher
Taylor and Francis Group
Year
2006
Tongue
English
Weight
879 KB
Volume
55
Category
Article
ISSN
0001-8732

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✍ Tsampikos Kottos; Uzy Smilansky 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 704 KB

We quantize graphs (networks) which consist of a finite number of bonds and vertices. We show that the spectral statistics of fully connected graphs is well reproduced by random matrix theory. We also define a classical phase space for the graphs, where the dynamics is mixing and the periodic orbits