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arxiv: 0802.1080 · v3 · submitted 2008-02-08 · 🧮 math.SP · math-ph· math.MP

Absolutely continuous spectrum of a Schr\"odinger operator on a tree

classification 🧮 math.SP math-phmath.MP
keywords treeabsolutelycontinuousodingeroperatorregularschrspectrum
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We give sufficient conditions for the presence of the absolutely continuous spectrum of a Schr\"odinger operator on a regular rooted tree without loops (also called regular Bethe lattice or Cayley tree).

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