One-dimensional quantum chaos: Explicitly solvable cases

Details One-dimensional quantum chaos: Explicitly solvable cases One-dimensional quantum chaos: Explicitly solvable cases

2001-08-10

arxiv.org/abs/quant-ph/0108054v1

Pis'ma v ZhETF 74, 258-262 (2001)

Physics

Quantum Physics

9 pages and 4 figures

Scientific paper

10.1134/1.1413563

We present quantum graphs with remarkably regular spectral characteristics. We call them {\it regular quantum graphs}. Although regular quantum graphs are strongly chaotic in the classical limit, their quantum spectra are explicitly solvable in terms of periodic orbits. We present analytical solutions for the spectrum of regular quantum graphs in the form of explicit and exact periodic orbit expansions for each individual energy level.

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