Adiabatic perturbation of periodic potential.~II
Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 3, pp. 430-442

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For the equation $-\psi'' +p(x)\psi +q(\varepsilon x)\psi=0$, $p$ – periodic function, $\varepsilon\to 0$), behaviour of solutions in neighbourhood of two close turning points is studied. The results give mathematically consistent description of the electric breakdown effect in the Block electron theory.
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     author = {V. S. Buslaev and L. A. Dmitrieva},
     title = {Adiabatic perturbation of periodic {potential.~II}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {73},
     number = {3},
     year = {1987},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1987_73_3_a8/}
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V. S. Buslaev; L. A. Dmitrieva. Adiabatic perturbation of periodic potential.~II. Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 3, pp. 430-442. http://geodesic.mathdoc.fr/item/TMF_1987_73_3_a8/