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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1987 Volume 73, Number 3, Pages 430–442 (Mi tmf5645)

This article is cited in 13 papers

Adiabatic perturbation of periodic potential. II

V. S. Buslaev, L. A. Dmitrieva


Abstract: 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.

Received: 06.05.1986


 English version:
Theoretical and Mathematical Physics, 1987, 73:3, 1320–1329

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