Quasiperiodic surface Maryland models on quantum graphs

Details Quasiperiodic surface Maryland models on quantum graphs Quasiperiodic surface Maryland models on quantum graphs

2008-11-20

arxiv.org/abs/0811.3308v1

J. Phys. A: Math. Theor. 42 (2009) 265304

Physics

Mathematical Physics

12 pages

Scientific paper

10.1088/1751-8113/42/26/265304

We study quantum graphs corresponding to isotropic lattices with quasiperiodic coupling constants given by the same expressions as the coefficients of the discrete surface Maryland model. The absolutely continuous and the pure point spectra are described. It is shown that the transition between them is governed by the Hill operator corresponding to the edge potential.

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