SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS

DOI10.1142/S0129055X08003249zbMath1163.81007arXivmath-ph/0611088OpenAlexW2096262735MaRDI QIDQ3521553

Konstantin Pankrashkin, Jochen Brüning, Vladimir A. Geyler

Publication date: 26 August 2008

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0611088

zbMATH Keywords

singular perturbations spectral measure quantum graphs self-adjoint extensions boundary triples Krein resolvent formula point perturbations classification of spectra Krein maps

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of functional analysis in quantum physics (46N50)

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