Abstract
The knowledge of the phase θ(x) of the quantum-mechanical wavefunction ψ(x) of an electron in a one-dimensional random potential V(x) can be used to determine the density of states as a function of electron energy. A class of random potentials, called multi-step potentials, is introduced. A set of differential equations is formulated for the probability density of the phase. The equations are solved for two-and three-step potentials, and the results are discussed. In the discussion an analogy with a jogger (or rotator) model is helpful. The density of states is calculated numerically. The results may also be used to discuss the eigenstates of electromagnetic waves in layered media.
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© 1990 Kluwer Academic Publishers
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Erdös, P., Domanski, Z. (1990). Density of States of Electrons and Electromagnetic Waves in One-Dimensional Random Media. In: van Haeringen, W., Lenstra, D. (eds) Analogies in Optics and Micro Electronics. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2009-5_4
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DOI: https://doi.org/10.1007/978-94-009-2009-5_4
Publisher Name: Springer, Dordrecht
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Online ISBN: 978-94-009-2009-5
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