Quadratic pencil of Schrödinger operators with spectral singularities: Discrete spectrum and principal functions
From MaRDI portal
Publication:1378698
DOI10.1006/JMAA.1997.5689zbMath0892.34077OpenAlexW2067213139MaRDI QIDQ1378698
Elgiz Bairamov, A. Okay Çelebi, Öner Cakar
Publication date: 3 March 1998
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://hdl.handle.net/11511/66946
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
Related Items (30)
Spectral properties of the nonhomogeneous Klein-Gordon \(s\)-wave equations ⋮ A new inverse problem for the diffusion operator ⋮ A polynomial-type Jost solution and spectral properties of a self-adjoint quantum-difference operator ⋮ A note on the spectrum of discrete Klein-Gordon s-wave equation with eigenparameter dependent boundary condition ⋮ GENERALIZED QUADRATIC SPECTRUM APPROXIMATION IN BOUNDED AND UNBOUNDED CASES ⋮ Unnamed Item ⋮ Remarks on the inverse problem for an energy-dependent hamiltonian ⋮ Unnamed Item ⋮ Spectral properties of a Schrödinger equation with a class of complex potentials and a general boundary condition. ⋮ Principal functions of non-selfadjoint discrete Sturm-Liouville equations with quadratic spectral parameter in boundary conditions ⋮ Unnamed Item ⋮ Principal vectors of second-order quantum difference equations with boundary conditions dependent on spectral parameter ⋮ Energy dependent potential problems for the one dimensional \(p\)-Laplacian operator ⋮ Spectral properties of a finite system of Sturm–Liouville difference operators ⋮ Spectral analysis of \(q\)-difference equations with spectral singularities ⋮ Non-self-adjoint singular Sturm-Liouville problems with boundary conditions dependent on the eigenparameter ⋮ Non-self-adjoint boundary-value problem with discontinuous density function ⋮ Bound states and spectral singularities of an impulsive Schrödinger equation ⋮ Principal functions of non-selfadjoint difference operator with spectral parameter in boundary conditions ⋮ Principal functions of non-selfadjoint matrix Sturm-Liouville equations ⋮ Non-selfadjoint matrix Sturm-Liouville operators with spectral singularities ⋮ Spectral properties of non-selfadjoint difference operators ⋮ THE SPECTRUM OF QUADRATIC EIGENPARAMETER-DEPENDENT NON-SELFADJOINT MATRIX STURM-LIOUVILLE OPERATORS ⋮ Reconstruction of Potential Function for Diffusion Operator ⋮ An eigenfunction expansion of the non-selfadjoint Sturm-Liouville operator with a singular potential ⋮ Spectral expansion of a non-self-adjoint differential operator on the whole axis ⋮ Unnamed Item ⋮ PROPERTIES OF EIGENVALUES AND SPECTRAL SINGULARITIES FOR IMPULSIVE QUADRATIC PENCIL OF DIFFERENCE OPERATORS ⋮ Spectral singularities of the nonhomogeneous Sturm-Liouville equations ⋮ Difference equations of second order with spectral singularities
Cites Work
- The principal part of the resolvent of non-self-adjoint operators in a neighborhood of spectral singularities
- Some non-selfadjoint operators
- Investigation of the spectrum and the expansion in eigenfunctions of a non-selfadjoint differential operator of the second order on a semi-axis
- ON SEPARATION CONDITIONS FOR THE SPECTRAL COMPONENTS OF A DISSIPATIVE OPERATOR
- Existence and Uniqueness of Crossing Symmetric N/D-Type Equations Corresponding to the Klein-Gordon Equation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Quadratic pencil of Schrödinger operators with spectral singularities: Discrete spectrum and principal functions
