Absolutely continuous spectrum of a Schrödinger operator on a tree

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We give sufficient conditions for the presence of the absolutely continuous spectrum of a Schrödinger operator on a regular rooted tree without loops (also called regular Bethe lattice or Cayley tree).
10 pages, 1 figure; a preliminary version, few more typos corrected

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Spectral Theory, Mathematical Physics, 34L40

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http://salesiana.dossiersoluciones.com/handle/123456789/161090

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.1080
 http://arxiv.org/abs/0802.1080

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arXiv