Poisson kernel expansions for Schrödinger operators on trees

DOI10.4171/JST/247zbMath1410.81022arXiv1610.05907OpenAlexW2533290902MaRDI QIDQ1733083

Nalini Anantharaman, Mostafa Sabri

Publication date: 20 March 2019

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.05907

zbMATH Keywords

Schrödinger operatortreesPoisson kernelgeneralized eigenfunctions

Mathematics Subject Classification ID

Trees (05C05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Discrete version of topics in analysis (39A12) Discrete potential theory (31C20) Distributions, generalized functions, distribution spaces (46F99) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Kernel operators (47B34) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items

Dispersion for Schrödinger operators on regular trees, Quantum ergodicity for large equilateral quantum graphs, The limit theorem with respect to the matrices on non-backtracking paths of a graph, Quantum ergodicity for the Anderson model on regular graphs, Recent results of quantum ergodicity on graphs and further investigation, \(L^p\) norms and support of eigenfunctions on graphs, Uniqueness for solutions of the Schrödinger equation on trees, Quantum ergodicity on graphs: from spectral to spatial delocalization, Poisson transforms for trees of bounded degree

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