Abstract
Two different approaches to the quantum theory of diffusion, the perturbative approach of Flynn and Stoneham and the occurrence-probability ansatz of Holstein, are compared in their common range of validity T ⩾ Θ Debye /2. It will be shown that they give the same results for small transfer integrals J. For large J the perturbative approach breaks down while the occurrence-probability ansatz still holds and the corresponding jump rate obeys an Arrhenius law in agreement with experimental observations.
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© 1987 Springer-Verlag Berlin Heidelberg
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Klamt, A. (1987). Quantum Diffusion Above Θ Debye /2. In: Heidemann, A., Magerl, A., Richter, D., Prager, M., Springer, T. (eds) Quantum Aspects of Molecular Motions in Solids. Springer Proceedings in Physics, vol 17. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71914-1_31
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DOI: https://doi.org/10.1007/978-3-642-71914-1_31
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-71916-5
Online ISBN: 978-3-642-71914-1
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