Bloch electrons in a magnetic field: Rigorous justification of the Peierls-Onsager effective Hamiltonian

DOI10.1007/BF00401591zbMath0699.47007OpenAlexW2077191836MaRDI QIDQ913208

Gheorghe Nenciu

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf00401591

zbMATH Keywords

Schrödinger operators with magnetic fieldextended magnetic fieldPeierls-Onsager effective Hamiltonianperturbation of one-electon dynamics in solids given by an extended magnetic fieldperturbation of one-electron dynamics in solids given by an

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (6)

Low energy bands do not contribute to quantum Hall effect ⋮ Peierls’ substitution via minimal coupling and magnetic pseudo-differential calculus ⋮ Low lying spectral gaps induced by slowly varying magnetic fields ⋮ Unnamed Item ⋮ Spectral analysis near a Dirac type crossing in a weak non-constant magnetic field ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Stability of energy gaps under variations of the magnetic field
• Analytic Properties of Bloch Waves and Wannier Functions
• Theory of Bloch Electrons in a Magnetic Field: The Effective Hamiltonian
• The Effect of a Magnetic Field on Electrons in a Periodic Potential

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