The perturbation theory for schrodinger equation in the periodic environment in momentum representation
N.L. Kazanskiy, S.N. Khonina, S.I. Kharitonov

Full text of article: Russian language.

Abstract:
In article some known results about Bloch Oscillations movement in a crystal in pulse representation are considered. We emphasize that the electron movement description is incomplete in a some authors statement. Actually, the exact description of electron behaviour in a crystal lattice is possible only on the basis of Schrödinger equation decision in pulse representation. The approached decisions of Schrödinger equation for electron behaviour in periodic potential of a crystal lattice and the equation for evolution of average values of the impulse and coordinate operator are received. For the electron behaviour description in a crystal lattice presence of homogeneous electric field and the indignation caused by an external electromagnetic wave the theory of indignations is used. The presented methods can be used further for calculation of optical devices including optical transistors.

Key words:
Schrödinger equation, pulse representation, a crystal lattice, momentum representation

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