2 papers
math-ph2016
The Berry-Keating operator on a lattice
Jens Bolte, Sebastian Egger, Stefan Keppeler
We construct and study a version of the Berry-Keating operator with a built-in truncation of the phase space, which we choose to be a two-dimensional torus. The operator is a Weyl…
math-ph2014
Heat-kernel and resolvent asymptotics for Schroedinger operators on metric graphs
Jens Bolte, Sebastian Egger, Ralf Rueckriemen
We consider Schroedinger operators on compact and non-compact (finite) metric graphs. For such operators we analyse their spectra, prove that their resolvents can be represented as…