Stability of closed gaps for the alternating Kronig-Penney Hamiltonian

DOI10.1007/S13324-015-0108-2zbMath1338.82061OpenAlexW1823804223MaRDI QIDQ281027

Domenico Monaco, Alessandro Michelangeli

Publication date: 10 May 2016

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

Full work available at URL: https://doi.org/10.1007/s13324-015-0108-2

zbMATH Keywords

point interactionsconvergence of self-adjoint operatorsKronig-Penney modelspectral bands and gaps

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Statistical mechanics of crystals (82D25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (1)

Generalised solutions to linear and non-linear Schrödinger-type equations with point defect: Colombeau and non-Colombeau regimes

Cites Work

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• Spectral gaps of the one-dimensional Schrödinger operators with periodic point interactions
• On a periodic boundary value problem with a finite number of gaps in its spectrum
• Generalized Kronig-Penney Hamiltonians
• Spectral asymptotics for Schrödinger operators with periodic point interactions
• STABILITY FOR A SYSTEM OF N FERMIONS PLUS A DIFFERENT PARTICLE WITH ZERO-RANGE INTERACTIONS
• 1D periodic potentials with gaps vanishing at k=0
• Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
• Quantum mechanics of electrons in crystal lattices
• HANS BETHE'S CONTRIBUTIONS TO SOLID-STATE PHYSICS
• On the determination of a Hill's equation from its spectrum

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