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

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

2006-11-30

arxiv.org/abs/math-ph/0611088v3

Rev. Math. Phys. 20 (2008) 1-70

Physics

Mathematical Physics

81 pages, new references added, subsection 1.3 extended, typos corrected

Scientific paper

10.1142/S0129055X08003249

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.

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