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nlin.CD2003
Irreversible quantum graphs
Uzy Smilansky
Irreversibility is introduced to quantum graphs by coupling the graphs to a bath of harmonic oscillators. The interaction which is linear in the harmonic oscillator amplitudes is l…
nlin.CD2003
Nodal domains on quantum graphs
Sven Gnutzmann, Uzy Smilansky, Joachim Weber
We consider the real eigenfunctions of the Schrödinger operator on graphs, and count their nodal domains. The number of nodal domains fluctuates within an interval whose size equal…