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Teoreticheskaya i Matematicheskaya Fizika, 1987, Volume 73, Number 3, Pages 430–442
(Mi tmf5645)
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This article is cited in 14 scientific papers (total in 15 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
Citation:
V. S. Buslaev, L. A. Dmitrieva, “Adiabatic perturbation of periodic potential. II”, TMF, 73:3 (1987), 430–442; Theoret. and Math. Phys., 73:3 (1987), 1320–1329
Linking options:
https://www.mathnet.ru/eng/tmf5645 https://www.mathnet.ru/eng/tmf/v73/i3/p430
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