Singular perturbations of differential operators : solvable Schrödinger type operators

By Sergio Albeverio, Pavel Kurasov. 2000

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View Paper: https://www.semanticscholar.org/paper/92956798b7564a543e782f6897dca8633db9da03

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In Mathematical Physics

Citations in the corpus

SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS (2006, background): “Kurasov [9], and in the topical issue of the Journal of P hysics A [44].”
Inverse spectral problems for Sturm–Liouville operators with singular potentials (2002, background): “Note that the class of potentials considered includes, e.g., the Dirac δ-like and Coulomb 1/x-like potentials that have been extensively used in quantum mechanics and mathematical physics [2, 3].”
Inverse spectral problems for Sturm-Liouville operators with singular potentials, II. Reconstruction by two spectra (2003, background): “(If H = ∞ or h = ∞, then the corresponding boundary condition is understood as a Dirichlet one.)”
Graph models for waves in thin structures (2002, methodology): “This is done either by using the standard theory of extensions of symmetric operators, or by a more recent version of it that amounts to finding Lagrangian planes with respect to the symplectic boundary form that corresponds to the maximal operator (see for instance [5, 100, 126, 140, 144] for the a”
Singular perturbations and time scales in control theory and applications: An overview (2002, background): “Also, see research monographs and books (including the general area of singular perturbation theory) [110, 102, 458, 198, 80, 103, 327, 442, 337, 104, 296, 299, 203, 328, 64, 183, 57, 325, 329, 411, 229, 230, 161, 228, 32, 311, 118, 141, 245, 174, 309, 338, 49, 452, 143, 9, 443, 204, 205, 31, 376, 1”