One dimensional periodic Dirac Hamiltonians: Semiclassical and high-energy asymptotics for gaps

DOI10.1063/1.531562zbMath0863.58070OpenAlexW2028532629MaRDI QIDQ5284783

Gheorghe Nenciu, Radu Purice

Publication date: 16 June 1997

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

Full work available at URL: https://doi.org/10.1063/1.531562

zbMATH Keywords

asymptoticsspectral gapssemiclassicalhigh-energyone-dimensional periodic Dirac Hamiltonians

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Perturbations of PDEs on manifolds; asymptotics (58J37)

Cites Work

• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• Linear adiabatic theory. Exponential estimates
• Foundations of the theory of 𝜆-zones of stability of a canonical system of linear differential equations with periodic coefficients
• Asymptotic Behavior of Stability Regions for Hill’s Equation
• The inverse problem for periodic potentials
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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