\(j\)-self-adjointness conditions for Jacobi matrices and Schrödinger and Dirac operators with point interactions

DOI10.1134/S0001434622050315WikidataQ114075381 ScholiaQ114075381MaRDI QIDQ2150632

S. A. Aleroev, Mark M. Malamud

Publication date: 30 June 2022

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

zbMATH Keywords

defect numberspoint interactionsJacobi matrixSchrödinger and Dirac operators\(j\)-self-adjointness

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Cites Work

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• On the spectral theory of Gesztesy-Šeba realizations of 1-D Dirac operators with point interactions on a discrete set
• On the discreteness of the spectrum of matrix Schrödinger and Dirac operators with point interactions
• One-dimensional Schrödinger operators with complex potentials
• Deficiency indices and discreteness property of block Jacobi matrices and Dirac operators with point interactions
• Weyl solutions and \(j\)-selfadjointness for Dirac operators
• Examples of block Jacobi matrices generating symmetric operators with arbitrary possible values of the deficiency numbers
• Unbounded quantum graphs with unbounded boundary conditions
• Complete indefiniteness tests for Jacobi matrices with matrix entries

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