1 citations · 2 across the 3 of their papers we have counts for
4 papers
Statistical Properties of Quantum Graph Spectra
Yu. Dabaghian
A general analytical approach to the statistical description of quantum graph spectra based on the exact periodic orbit expansions of quantum levels is discussed. The exact and app…
Explicit Spectral formulae for scaling quantum graphs
Yu. Dabaghian, R. Blümel
We present an exact analytical solution of the spectral problem of quasi one-dimensional scaling quantum graphs. Strongly stochastic in the classical limit, these systems are frequ…
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…
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…