The theory of indignations for Schrodinger equation in the periodic environment in momentum representation representation

Автор: Kazanskiy Nikolay Lvovich, Khonina Svetlana Nikolaevna, Kharitonov Sergey Ivanovich

Журнал: Компьютерная оптика @computer-optics

Рубрика: Дифракционная оптика, оптические технологии

Статья в выпуске: 1 т.36, 2012 года.

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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 Schrodinger equation decision in pulse representation. The approached decisions of Schrodinger 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.

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Schrodinger equation, pulse representation, crystal lattice, momentum representation

Короткий адрес: https://sciup.org/14059057

IDR: 14059057

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