Jost solution and the spectrum of the discrete Dirac systems

DOI10.1155/2010/306571zbMath1210.39003OpenAlexW2126835718WikidataQ59252040 ScholiaQ59252040MaRDI QIDQ623655

Elgiz Bairamov, Murat Olgun, Yelda Aygar

Publication date: 8 February 2011

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/229414

zbMATH Keywords

continuous spectrumeigenvaluesasymptotic behaviourJost solutionself-adjoint discrete Dirac systems

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Discrete version of topics in analysis (39A12)

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Conformable fractional Dirac system on time scales ⋮ A polynomial-type Jost solution and spectral properties of a self-adjoint quantum-difference operator ⋮ Dispersion estimates for one-dimensional discrete Dirac equations ⋮ Multiplicative conformable fractional Dirac system ⋮ Principal Vectors of Matrix-Valued Difference Operators ⋮ Unnamed Item ⋮ Principal vectors of second-order quantum difference equations with boundary conditions dependent on spectral parameter ⋮ Quadraticeigenparameter-dependent quantum difference equations

Cites Work

• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Theory of nonlinear lattices
• Spectrum and spectral singularities of a quadratic pencil of a Schrödinger operator with a general boundary condition
• An eigenfunction expansion for a quadratic pencil of a Schrödinger operator with spectral singularities
• Spectral singularities of Klein-Gordon \(s\)-wave equations with an integral boundary condition
• Spectral analysis of \(q\)-difference equations with spectral singularities
• Spectrum and spectral expansion for the non-selfadjoint discrete Dirac operators
• A Nonhomogeneous Eigenfunction Expansion
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