Abstract
The wave functions and energy levels of an electron in a periodic potential and a uniform magnetic field are found by means of a modified perturbation theory.The expansion functions for these generalized Bloch wave functions are products of the field-free Bloch wave function and the Landau wave function for a free electron in a magnetic field.The formalism should facilitate calculations for which the effective mass formalism is not suitable, such as those involving interband matrix elements.
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