Abstract

The problem of breakdown is considered in a model where a single electron moves in periodic potential dependent on x only and in a magnetic field applied along the z axis. The problem is treated by simple conventional quantum mechanics mostly near the classical limit. Blount's criterion for breakdown is derived straightforwardly. Then a `band structure' is set up in terms of a magnetic k vector suggested by Brown, and some quantum mechanical transitions in this band structure are shown to correspond to processes already explained classically. There are also possibilities of new types of absorption associated with breakdown. The motion of the electron in momentum space is also treated, and the classical results can thus be justified. This also enables one to study break-down from another point of view.

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