Spectra of self-adjoint extensions and applications to solvable Schroedinger operators

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We give a self-contained presentation of the theory of self-adjoint extensions using the technique of boundary triples. A description of the spectra of self-adjoint extensions in terms of the corresponding Krein maps (Weyl functions) is given. Applications include quantum graphs, point interactions, hybrid spaces, singular perturbations.
81 pages, new references added, subsection 1.3 extended, typos corrected

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Mathematical Physics, Spectral Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/146935

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0611088
 http://arxiv.org/abs/math-ph/0611088
 Rev. Math. Phys. 20 (2008) 1-70
 doi:10.1142/S0129055X08003249

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arXiv