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quant-ph2002★ 1 cited
Integrability in 1D Quantum Chaos
Yu. Dabaghian, R. V. Jensen, R. Blümel
Explicit, exact periodic orbit expansions for individual eigenvalues exist for a subclass of quantum networks called regular quantum graphs. We prove that all linear chain graphs h…
quant-ph2002
Mathematical Foundations of Regular Quantum Graphs
R. Blümel, Yu. Dabaghian, R. V. Jensen
We define a class of quantum systems called regular quantum graphs. Although their dynamics is chaotic in the classical limit with positive topological entropy, the spectrum of reg…