Geodesic
Complex WKB method for adiabatic perturbations of a~periodic Schr\"odinger operator
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 39, Tome 379 (2010), pp. 142-178

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The review is devoted to an analog of the complex WKB method developed to study solutions of an one dimensional periodic Schrödinger equation with an adiabatic perturbation. We illustrate how to use the method by examples. Bibl. 30 titles. 
@article{ZNSL_2010_379_a6,
     author = {A. A. Fedotov},
     title = {Complex {WKB} method for adiabatic perturbations of a~periodic {Schr\"odinger} operator},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {142--178},
     publisher = {mathdoc},
     volume = {379},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_379_a6/}
}
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A. A. Fedotov. Complex WKB method for adiabatic perturbations of a~periodic Schr\"odinger operator. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 39, Tome 379 (2010), pp. 142-178. http://geodesic.mathdoc.fr/item/ZNSL_2010_379_a6/