Complex WKB method for adiabatic perturbations of a periodic Schrödinger operator

DOI10.1007/s10958-011-0253-6zbMath1237.34148OpenAlexW2015460386MaRDI QIDQ549533

Yong-Cai Geng, Sumit K. Garg

Publication date: 18 July 2011

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0253-6

zbMATH Keywords

periodic Schrödinger operatorcomplex WKB methodadiabatic perturbations

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (4)

Homogenization of the Cauchy Problem for the Wave Equation with Rapidly Varying Coefficients and Initial Conditions ⋮ Monodromization method in the theory of almost-periodic equations ⋮ Asymptotics of the Cauchy problem for the one-dimensional Schrödinger equation with rapidly oscillating initial data and small addition to the smooth potential ⋮ Complex WKB method (one-dimensional linear problems on the complex plane)

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