Schrödinger operators with guided potentials on periodic graphs
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Publication:5354482
DOI10.1090/proc/13733zbMath1417.47011arXiv1612.05458OpenAlexW2963432802MaRDI QIDQ5354482
Natalia Saburova, Evgeny L. Korotyaev
Publication date: 4 September 2017
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.05458
Perturbation theories for operators and differential equations in quantum theory (81Q15) Discrete version of topics in analysis (39A12) Linear difference operators (47B39) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Related Items (8)
Asymptotic behavior of the mean number of particles for a branching random walk on the lattice \(\mathbb{Z}^d\) with periodic sources of branching ⋮ Spectral estimates for Schrödinger operators on periodic discrete graphs ⋮ Scattering on periodic metric graphs ⋮ Riesz decompositions for Schrödinger operators on graphs ⋮ Eigenvalues of periodic difference operators on lattice octants ⋮ Schrödinger operators with potential waveguides on periodic graphs ⋮ Branching Random Walks on $Z^d$ with Periodic Branching Sources ⋮ Spectral and scattering theory for topological crystals perturbed by infinitely many new edges
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