Spectral analysis of the half-line Kronig-Penney model with Wigner-von Neumann perturbations
DOI10.1016/S0034-4877(14)60057-4zbMath1303.47063arXiv1112.4717OpenAlexW2963121320MaRDI QIDQ486098
Vladimir Lotoreichik, Sergey Simonov
Publication date: 14 January 2015
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.4717
compact perturbationsasymptotic integrationpoint interactionsembedded eigenvaluesKronig-Penney modeldiscrete linear systemssubordinacy theoryWigner-von Neumann potentials
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
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Cites Work
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- Sturm-Liouville operators with measure-valued coefficients
- Orthogonal polynomials with recursion coefficients of generalized bounded variation
- Absolute continuity of Hamiltonians with von Neumann Wigner potentials. II
- 1-D Schrödinger operators with local point interactions on a discrete set
- On the negative spectrum of one-dimensional Schrödinger operators with point interactions
- Asymptotic behavior of generalized eigenvectors of Jacobi matrices in the critical (``double root) case
- On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators
- Bounded solutions and absolute continuity of Sturm-Liouville operators
- Asymptotic integration of adiabatic oscillators
- Spectral theory of one-dimensional Schrödinger operators with point interactions
- Spectral properties of the one-dimensional Schrödinger operator with point intersections
- Sturm-Liouville operators with singular potentials
- Perturbation theory for linear operators.
- Wave operators and positive eigenvalues for a Schrödinger equation with oscillating potential
- Zeroes of the spectral density of discrete Schrödinger operator with Wigner-von Neumann potential
- Averaging method in the asymptotic integration problem for systems with oscillatory-decreasing coefficients
- The asymptotic nature of solutions of linear systems of differential equations
- Weyl—Titchmarsh-type formula for periodic Schrödinger operator with Wigner—von Neumann potential
- Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials
- Zeroes of the spectral density of the periodic Schrödinger operator with Wigner–von Neumann potential
- Embedded Half-Bound States for Potentials of Wigner-Von Neumann Type
- Anomalous localization in the aperiodic Kronig–Penney model
- A Weyl–Titchmarsh type formula for a discrete Schrödinger operator with Wigner–von Neumann potential
- Singular continuous spectrum of half-line Schrödinger operators with point interactions on a sparse set
- Spectral analysis of a class of hermitian Jacobi matrices in a critical (double root) hyperbolic case
- Wigner–von Neumann perturbations of a periodic potential: spectral singularities in bands
- On the spectral L2 conjecture, 3/2-Lieb-Thirring inequality and distributional potentials
- Asymptotic Representation of Solutions of Perturbed Systems of Linear Difference Equations
- The m-function for Hamiltonians with Wigner–von Neumann potentials
- A duality between Schroedinger operators on graphs and certain Jacobi matrices
- Spectral theory of semibounded Sturm–Liouville operators with local interactions on a discrete set
- The asymptotic analysis of generalized eigenvectors of some Jacobi operators. Jordan box case∗
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