Stark Wannier ladders

DOI10.1007/BF02099175zbMath0743.35053MaRDI QIDQ1179853

François Bentosela, Vincenzo Grecchi

Publication date: 27 June 1992

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Schrödinger equationelectronconstant electric fieldladders of resonancesone dimensional crystal

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40)

Related Items

Imaginary parts of Stark–Wannier resonances ⋮ Unnamed Item ⋮ Lower bounds on the width of Stark-Wannier type resonances ⋮ Existence of the Stark-Wannier quantum resonances ⋮ The absence of the absolutely continuous spectrum for δ ′ Wannier–Stark ladders ⋮ Stark ladder resonances for small electric fields ⋮ Stark resonances in disordered systems ⋮ Wannier-Stark resonances in optical and semiconductor superlattices ⋮ Stark ladders of resonances: Wannier ladders and perturbation theory

Cites Work

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• Existence of Stark ladder resonances
• The Stark ladder and other one-dimensional external field problems
• Adiabatic theorem and spectral concentration. I: Arbitrary order spectral concentration for the Stark effect in atomic physics
• Stark ladder resonances for small electric fields
• Wave Functions and Effective Hamiltonian for Bloch Electrons in an Electric Field
• Asymptotic Behavior of Stability Regions for Hill’s Equation