The absence of the absolutely continuous spectrum for δ ′ Wannier–Stark ladders
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Publication:4873340
DOI10.1063/1.530908zbMath0884.47049OpenAlexW1967593536MaRDI QIDQ4873340
Publication date: 16 April 1996
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.530908
Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
Related Items (16)
Unnamed Item ⋮ \(\delta^{\prime}\)-interaction as a limit of a thin Neumann waveguide with transversal window ⋮ On the spectrum of the Kronig-Penney model in a constant electric field ⋮ Some examples in one-dimensional ``geometric scattering on manifolds ⋮ Construction of self‐adjoint differential operators with prescribed spectral properties ⋮ Absolutely continuous spectrum of Stark operators ⋮ Spectral theory of semibounded Schrödinger operators with \(\delta'\)-interactions ⋮ The von Neumann way to treat systems of mixed dimensionality ⋮ On the absolutely continuous spectrum of Stark Hamiltonians ⋮ On the spectrum of the Wannier–Stark operator ⋮ A single-mode quantum transport in serial-structure geometric scatterers ⋮ ABSOLUTELY CONTINUOUS SPECTRUM FOR SINGULAR STARK HAMILTONIANS ⋮ Absolutely continuous spectrum of perturbed Stark operators ⋮ A duality between Schroedinger operators on graphs and certain Jacobi matrices ⋮ Semicrystal with a singular potential in an accelerating electric field ⋮ A crystal with a singular potential in a homogeneous electric field
Cites Work
- Normal form of a differential equation, not solvable for the derivative, in a neighborhood of a singular point
- Some remarks on the \(\delta\) '-interaction in one dimension
- Stark Wannier ladders
- A new class of point interactions in one dimension
- Trace class perturbations and the absence of absolutely continuous spectra
- Periodic Schrödinger operators with large gaps and Wannier-Stark ladders
- Four-parameter point-interaction in 1D quantum systems
- Wannier ladders and perturbation theory
- Absence of the absolutely continuous spectrum for Stark-Bloch operators with strongly singular periodic potentials
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