The Stark ladder and other one-dimensional external field problems
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Publication:1158625
DOI10.1007/BF01213594zbMath0473.47037MaRDI QIDQ1158625
James S. Howland, Ira W. Herbst
Publication date: 1981
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
General theory of ordinary differential operators (47E05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Ordinary differential equations in the complex domain (34M99) Ordinary differential operators (34L99)
Related Items
Asymptotics of resonances for 1D Stark operators ⋮ Unnamed Item ⋮ Existence of Stark ladder resonances ⋮ Random time evolution and direct integrals: Constants of the motion and the mass operator ⋮ Lower bounds on the width of Stark-Wannier type resonances ⋮ Existence of the Stark-Wannier quantum resonances ⋮ Stark Wannier ladders ⋮ Stark resonances in disordered systems ⋮ Schrödinger semigroups ⋮ Unnamed Item ⋮ Eigenvalue bounds for Stark operators with complex potentials ⋮ Unnamed Item ⋮ Schrödinger operators with an electric field and random or deterministic potentials ⋮ One-dimensional Schrödinger operators with random potentials: a survey ⋮ Strategies in localization proofs for one-dimensional random Schrödinger operators ⋮ Wannier-Stark resonances in optical and semiconductor superlattices ⋮ Stark ladders of resonances: Wannier ladders and perturbation theory
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- Wave Functions and Effective Hamiltonian for Bloch Electrons in an Electric Field
