Remarks on Periodic Jacobi Matrices on Trees

Abstract

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 hyperbolic metric. We make some conjectures about antibound states and make an interesting observation for what [3] calls the rg-model.

References in corpus (2)

• Eigenvalue Bounds for Perturbations of Schrodinger Operators and Jacobi Matrices With Regular Ground States
• Periodic Boundary Conditions for Periodic Jacobi Matrices on Trees

Cited by in corpus (1)

• Twelve Tales in Mathematical Physics: An Expanded Heinemann Prize Lecture