On the limiting absorption principle and spectra of quantum graphs

Details On the limiting absorption principle and spectra of quantum graphs On the limiting absorption principle and spectra of quantum graphs

2005-10-10

arxiv.org/abs/math-ph/0510036v1

Physics

Mathematical Physics

11 pages, 2 figures

Scientific paper

The main result of the article is validity of the limiting absorption
principle and thus absence of the singular continuous spectrum for compact
quantum graphs with several infinite leads attached. The technique used
involves Dirichlet-to-Neumann operators.

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