138 citations · 772 across the 37 of their papers we have counts for
37 papers
Many-particle quantum graphs: A review
Jens Bolte, Joachim Kerner
In this paper we review recent work that has been done on quantum many-particle systems on metric graphs. Topics include the implementation of singular interactions, Bose-Einstein…
Solvable models of interacting n-particle systems on quantum graphs
Jens Bolte, George Garforth
We introduce n-particle quantum graphs with singular two-particle interactions in such a way that eigenfunctions can be given in the form of a Bethe ansatz. We show that this leads…
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…
Exactly solvable interacting two-particle quantum graphs
Jens Bolte, George Garforth
We construct models of exactly solvable two-particle quantum graphs with certain non-local two-particle interactions, establishing appropriate boundary conditions via suitable self…
A Gutzwiller trace formula for large hermitian matrices
Jens Bolte, Sebastian Egger, Stefan Keppeler
We develop a semiclassical approximation for the dynamics of quantum systems in finite-dimensional Hilbert spaces whose classical counterparts are defined on a toroidal phase space…
Instability of Bose-Einstein condensation on quantum graphs under repulsive perturbations
Jens Bolte, Joachim Kerner
In this Note we investigate Bose-Einstein condensation in interacting quantum many-particle systems on graphs. We extend previous results obtained for particles on an interval and…