On the dynamics of crystal electrons, high momentum regime

DOI10.1006/jmaa.2000.7293zbMath0986.34072arXivmath-ph/0006005OpenAlexW2010987127MaRDI QIDQ5937650

Pierre Duclos, Gheorghe Nenciu, Joachim Asch, François Bentosela

Publication date: 28 May 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0006005

zbMATH Keywords

continuous spectrumcrystal electronsquantum dynamicsStark-Wannier Hamiltonian

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (3)

Dynamical localization for unitary Anderson models ⋮ Absolutely continuous spectrum of Stark operators ⋮ The dynamics of one-dimensional Bloch electrons in constant electric fields

Cites Work

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• Schrödinger operators with an electric field and random or deterministic potentials
• Lifetime of the Wannier-Stark resonances and perturbation theory
• Propagation theorems for some classes of pseudo-differential operators
• Stability of driven systems with growing gaps, quantum rings, and Wannier ladders.
• Absence of absolutely continuous spectrum of Floquet operators
• Lower bounds on the width of Stark-Wannier type resonances
• Wave Functions and Effective Hamiltonian for Bloch Electrons in an Electric Field
• Absolutely continuous spectrum of perturbed Stark operators

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