Many-particle quantum graphs: A review
Jens Bolte, Joachim Kerner
TL;DR
This review discusses recent advances in quantum many-particle systems on metric graphs, covering singular interactions, Bose-Einstein condensation, solvable models, and spectral properties related to superconductivity in wire networks.
Contribution
It synthesizes recent research on quantum many-particle systems on metric graphs, highlighting new models and spectral analysis techniques.
Findings
Implementation of singular interactions on graphs
Conditions for Bose-Einstein condensation in graph systems
Spectral properties linked to superconductivity phenomena
Abstract
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 condensation, sovable models and spectral properties of some simple models in connection with superconductivity in wires.
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