30 citations · 116 across the 11 of their papers we have counts for
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math-ph2012★ 29 cited
Finite pseudo orbit expansions for spectral quantities of quantum graphs
Ram Band, Jonathan M. Harrison, Christopher H. Joyner
We investigate spectral quantities of quantum graphs by expanding them as sums over pseudo orbits, sets of periodic orbits. Only a finite collection of pseudo orbits which are irre…
math-ph2012★ 1 cited
Vacuum energy of Schrödinger operators on metric graphs
J. M. Harrison, K. Kirsten
We present an integral formulation of the vacuum energy of Schrödinger operators on finite metric graphs. Local vertex matching conditions on the graph are classified according to…