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Adiabatic perturbation of a periodic potential

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Publication:762342
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DOI10.1007/BF01017921zbMath0557.34053MaRDI QIDQ762342

Vladimir S. Buslaev

Publication date: 1984

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


zbMATH Keywords

adiabatic perturbationnondegenerate turning pointsWKB formulas


Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)


Related Items (7)

Maslov's complex germ in the Cauchy problem for a wave equation with a jumping velocity ⋮ Imaginary parts of Stark–Wannier resonances ⋮ Asymptotics of the Cauchy problem for the one-dimensional Schrödinger equation with rapidly oscillating initial data and small addition to the smooth potential ⋮ Quantization of nonsmooth curves and the semiclassical spectrum of the one-dimensional Schrödinger operator with a localized perturbation of the potential ⋮ Perturbation of the Hill operator by narrow potentials ⋮ Reflection and refraction of Lagrangian manifolds corresponding to short-wave solutions of the wave equation with an abruptly varying velocity ⋮ A crystal with a singular potential in a homogeneous electric field



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