Remarks on periodic Jacobi matrices on trees

Jacob S. Christiansen, Barry Simon, Maxim Zinchenko

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskriftPeer review

2 Citeringar (SciVal)

Sammanfattning

We look at periodic Jacobi matrices on trees. We provide upper and lower bounds on the gap of such operators analogous to the well-known gap in the spectrum of the Laplacian on the upper half-plane with a hyperbolic metric. We make some conjectures about antibound states and make an interesting observation for the so-called rg-model where the underlying graph has r red and g green vertices and where any two vertices of different colors are connected by a single edge.

Originalspråkengelska
Artikelnummer042101
TidskriftJournal of Mathematical Physics
Volym62
Utgåva4
DOI
StatusPublished - 2021

Ämnesklassifikation (UKÄ)

  • Matematik

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