181 citations · 3.2k across the 184 of their papers we have counts for
Showing 1995 · funct-anShow all
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funct-an1995★ 75 cited
Weakly coupled states on branching graphs
Pavel Exner
We consider a Schrödinger particle on a graph consisting of links joined at a single point. Each link supports a real locally integrable potential ; the self--adjo…
funct-an1995★ 5 cited
A duality between Schroedinger operators on graphs and certain Jacobi matrices
Pavel Exner
The known correspondence between the Kronig-Penney model and certain Jacobi matrices is extended to a wide class of Schroedinger operators on graphs. Examples include rectangular l…
funct-an1995★ 96 cited
Contact interactions on graph superlattices
Pavel Exner
We consider a quantum mechanical particle living on a graph and discuss the behaviour of its wavefunction at graph vertices. In addition to the standard (or delta type) boundary co…