scientific article; zbMATH DE number 1421477
zbMath0955.47044MaRDI QIDQ4946473
Philippe Briet, François Bentosela
Publication date: 22 March 2000
Full work available at URL: http://www.numdam.org/item?id=AIHPA_1999__71_5_497_0
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
HamiltonianSchrödinger operatorcoupling constantsspectral propertiesresolvent operatordisorder systemsanalytical distortion methodelectron moving in a random potentialexterior constant electric fieldrandom potentials of Anderson typeStark-Wainner resonances
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Applications of operator theory in the physical sciences (47N50) Many-body theory; quantum Hall effect (81V70)
Cites Work
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- Schrödinger operators with an electric field and random or deterministic potentials
- Spectral stability under tunneling
- Localization in general one-dimensional random systems. II: Continuum Schrödinger operators
- The Stark ladder and other one-dimensional external field problems
- Absence of singular continuous spectrum for certain self-adjoint operators
- Stark Wannier ladders
- Stark ladder resonances for small electric fields
- Stark resonances in disordered systems
- Localization for some continuous, random Hamiltonians in \(d\)-dimensions
- Lower bounds on the width of Stark-Wannier type resonances
- Some resolvent estimates for Sturm Liouville operators
- Operators with singular continuous spectrum. IV: Hausdorff dimensions, rank one perturbations, and localization
- Multiple wells in the semi-classical limit I
- Semiclassical theory of shape resonances in quantum mechanics
- The absence of the absolutely continuous spectrum for δ ′ Wannier–Stark ladders
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