Scattering theory for graphs isomorphic to a regular tree at infinity
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Publication:5402302
DOI10.1063/1.4807310zbMath1282.81092arXiv1209.1001OpenAlexW1987636961MaRDI QIDQ5402302
Yves Colin de Verdière, Françoise Truc
Publication date: 6 March 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.1001
Trees (05C05) (2)-body potential quantum scattering theory (81U05) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Related Items (7)
Spectral and scattering theory for Schrödinger operators on perturbed topological crystals ⋮ Inverse scattering for Schrödinger operators on perturbed lattices ⋮ Scattering the geometry of weighted graphs ⋮ Spectral properties of quantum walks on rooted binary trees ⋮ Spectral properties of Schrödinger operators on perturbed lattices ⋮ Relativistic Lippmann–Schwinger equation as an integral equation ⋮ Uniqueness for solutions of the Schrödinger equation on trees
Cites Work
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- An overview of harmonic analysis on the group of isometries of a homogeneous tree
- Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory
- Exterior–interior duality for discrete graphs
- Semiclassical analysis and passive imaging
- The range of the Helgason-Fourier transformation on homogeneous trees
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