Abstract
The usual treatment of the interaction between electrons and lattice-oscillations using pertubation-theory becomes inapplicable, if the coupling is too strong. An important example is that of an electron moving in a polar medium. If one tries to explain superconductivity with aid of the interaction between electrons and lattice oscillations, such a strong coupling is also to be taken into account.
A survey of a number of recent papers is therefore given, in which other methods of approximation better than perturbation-theory have been developed. In the case of an electron in a polar medium the variational calculus predominates. The many-electron problem in superconducters on the other hand is treated by several kinds of special canonical transformations.
The connection between the (exactly determined) stationary states of the whole system consisting of electrons and lattice-oscillations and a description using the conception of scattering is treated in some detail.
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© 1954 Friedr. Vieweg & Sohn
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Haken, H. (1954). Einige Zusatzbemerkungen zum Referat Pfirsch. In: Halbleiterprobleme. Advances in Solid State Physics, vol HP1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0116865
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DOI: https://doi.org/10.1007/BFb0116865
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