Energy States in Random Media.
NEW MEXICO UNIV ALBUQUERQUE BUREAU OF ENGINEERING RESEARCH
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The report is concerned with energy levels and the density of states in random crystal. By developing a non-linear differential equation for the phase process in random crystals, it is shown how to calculate the density of states in one-dimensional random arrays. The method used has the virtues of simplicity and, where comparison with previous numerical results can be made, accuracy, with minimal computing time. Various analytical results are found with the phase process method and these are equivalent with results found by other workers. In the three-dimensional case, it is shown how to use the phase process to help construct the Greens function and, from it, the density of states. No applications are given. By expanding in plane waves, a secular determinant is found for the determination of the energy eigenvalues in a random crystal. Modified author abstract
- Solid State Physics