Matrix Schrödinger operator with \(\delta\)-interactions

DOI10.1134/S0001434616070051zbMathNoneMaRDI QIDQ509045

D. D. Natyagailo, Aleksey S. Kostenko, Mark M. Malamud

Publication date: 8 February 2017

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatordeficiency indexself-adjointnessJacobi matrixdelta-interaction

Mathematics Subject Classification ID

Operator theory (47-XX) Ordinary differential equations (34-XX)

Related Items (13)

Deficiency indices of block Jacobi matrices that do not satisfy the Carleman condition, and operators with point interactions ⋮ Non-relativistic limit for matrix 1D-Dirac operators with point interactions ⋮ Nonrelativistic limit for \(2p \times 2p\)-Dirac operators with point interactions on a discrete set ⋮ Self-adjointness and discreteness of the spectrum of block Jacobi matrices ⋮ Deficiency indices of the operators generated by infinite Jacobi matrices with operator entries ⋮ Asymptotics of eigenvalues of infinite block matrices ⋮ Deficiency indices and discreteness property of block Jacobi matrices and Dirac operators with point interactions ⋮ Spectral theory of infinite quantum graphs ⋮ 1-D Schrödinger operators with local interactions on a discrete set with unbounded potential ⋮ To the spectral theory of one-dimensional matrix Dirac operators with point matrix interactions ⋮ On the deficiency indices of block Jacobi matrices related to Dirac operators with point interactions ⋮ On the discreteness of the spectrum of matrix Schrödinger and Dirac operators with point interactions ⋮ Spectral properties of matrix differential equations with nonsmooth coefficients

Cites Work

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• Singular Sturm-Liouville operators with distribution potential on spaces of vector functions
• Sturm-Liouville boundary value problems with operator potentials and unitary equivalence
• 1-D Schrödinger operators with local point interactions on a discrete set
• Generalized resolvents and the boundary value problems for Hermitian operators with gaps
• Certain classes of extensions of a lacunary Hermitian operator
• Three-term recurrence relations with matrix coefficients. The completely indefinite case
• On the spectral theory of Gesztesy-Šeba realizations of 1-D Dirac operators with point interactions on a discrete set
• Generalized Jacobi matrices and deficiency indices of ordinary differential operators with polynomial coefficients
• Supersymmetry and Schrödinger-type operators with distributional matrix-valued potentials
• Singular Sturm-Liouville operators with distribution potentials
• One-dimensional Schrödinger operator with \(\delta\)-interactions
• Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials
• Examples of block Jacobi matrices generating symmetric operators with arbitrary possible values of the deficiency numbers
• Deficiency numbers of symmetric operators generated by block Jacobi matrices
• Spectral theory of semibounded Sturm–Liouville operators with local interactions on a discrete set
• 1-D Schr\"odinger operators with local point interactions: a review
• Complete indefiniteness tests for Jacobi matrices with matrix entries

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