14 citations · 16 across the 3 of their papers we have counts for
3 papers
quant-ph2003★ 1 cited
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…
quant-ph2003★ 14 cited
Explicit, analytical solution of scaling quantum graphs
Yu. Dabaghian, R. Blümel
Based on earlier work on regular quantum graphs we show that a large class of scaling quantum graphs with arbitrary topology are explicitly analytically solvable. This is surprisin…
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…