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Adiabatic perturbation of a periodic potential. II. (Russian. English summary) Zbl 0643.34068
[For part I see ibid. 58, No.2, 233-243 (1984; Zbl 0534.34064).]
For the equation \(-\psi ''+p(x)\psi +q(\epsilon x)\psi =0\), p-periodic function, \(\epsilon\to 0\), 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 Bloch electron theory.

MSC:
34E20 Singular perturbations, turning point theory, WKB methods for ordinary differential equations
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