To the spectral theory of one-dimensional matrix Dirac operators with point matrix interactions

DOI10.1134/S1064562418020047zbMath1494.47071OpenAlexW2803680635WikidataQ129807463 ScholiaQ129807463MaRDI QIDQ721803

V. S. Budyka, Mark M. Malamud, Andrea Posilicano

Publication date: 20 July 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562418020047

zbMATH Keywords

Jacobi matrices\((2p\times2p)\)-matrix Dirac operators with point matrix interactionsGS-realisations

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectrum, resolvent (47A10) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Operators arising in mathematical physics (47B93)

Related Items (4)

Non-relativistic limit for matrix 1D-Dirac operators with point interactions ⋮ Self-adjointness and discreteness of the spectrum of block Jacobi matrices ⋮ Asymptotics of eigenvalues of infinite block matrices ⋮ Deficiency indices and discreteness property of block Jacobi matrices and Dirac operators with point interactions

Cites Work

• On the deficiency index of the vector-valued Sturm-Liouville operator
• Sturm-Liouville boundary value problems with operator potentials and unitary equivalence
• Matrix Schrödinger operator with \(\delta\)-interactions
• 1-D Schrödinger operators with local point interactions on a discrete set
• New analytically solvable models of relativistic point interactions
• Generalized resolvents and the boundary value problems for Hermitian operators with gaps
• On the spectral theory of Gesztesy-Šeba realizations of 1-D Dirac operators with point interactions on a discrete set
• Limit-point criteria for the matrix Sturm-Liouville operator and its powers
• Chain Sequences and Orthogonal Polynomials
• Complete indefiniteness tests for Jacobi matrices with matrix entries
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