Abstract
The wave functions and energy levels of an electron in a periodic potential and crossed electric and magnetic fields are found by means of a perturbation approach previously applied to the case of the magnetic field alone. A complete set of basis functions in which to expand the wave functions is introduced. These basis functions are taken to be products of the field-free wave functions and the harmonic-oscillator functions associated with a free electron in crossed electric and magnetic fields. The formalism should facilitate calculations for which the effectivemass formalism is not suitable, such as those involving interband matrix elements.
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