1-D Schrödinger operators with local interactions on a discrete set with unbounded potential

DOI10.1007/s10958-016-3200-8zbMath1372.34132OpenAlexW2566786078MaRDI QIDQ521099

Aleksandra Yu. Ananieva

Publication date: 6 April 2017

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-3200-8

zbMATH Keywords

Schrödinger operatorself-adjoint operatorunbounded potentialdiscretenesslocal point interaction

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (1)

Spectral theory for Sturm–Liouville operators with measure potentials through Otelbaev’s function

Cites Work

• One-dimensional Schrödinger operator with unbounded potential and point interactions
• Spectral asymptotics for the Sturm-Liouville operator with point interaction
• Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability
• Sturm-Liouville boundary value problems with operator potentials and unitary equivalence
• Spectral analysis of the half-line Kronig-Penney model with Wigner-von Neumann perturbations
• Matrix Schrödinger operator with \(\delta\)-interactions
• On the unitary equivalence of absolutely continuous parts of self-adjoint extensions
• 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
• Spectral theory of one-dimensional Schrödinger operators with point interactions
• The extension theory of Hermitian operators and the moment problem
• On the spectral theory of Gesztesy-Šeba realizations of 1-D Dirac operators with point interactions on a discrete set
• One-dimensional Schrödinger operator with \(\delta\)-interactions
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
• SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS
• Perturbation of Schrödinger Hamiltonians by measures—Self-adjointness and lower semiboundedness
• Spectral theory of semibounded Sturm–Liouville operators with local interactions on a discrete set
• Sturm–Liouville operators
• 1-D Schr\"odinger operators with local point interactions: a review
• Chain Sequences and Orthogonal Polynomials
• Complete indefiniteness tests for Jacobi matrices with matrix entries
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