Abstract
The presented method is based on an extension of the Goldberger-Adams theorem and on a systematic application of Wick's theorem. The latter leads to combinatorial problems, which in general are complicated but well-fit to be handled by computers. In the two pureJT-casesE-e andT-t the combinatorial problems are simple. In particular in theE-e-case (trigonal) the optical response can be written in a concise analytical form. It is shown further that by means of a one-to-one correspondence of the respective combinatorial problems it suffices to calculate the complete sequence of moments in the strong coupling limit to write down expressions for the optical response with arbitrary coupling, which are exact both in the strong and weak coupling limit.
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I should like to express my thanks to Yu. B. Rosenfeld, B. S. Tsukerblat, B. G. Vekhter and to Prof. E. Yu. Perlin from Kishinev for many stimulating discussions. I am also grateful to V. Loorits and V. Hizhnyakov from Tartu for critical remarks and useful comments.
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Wagner, M. Quasi-exact solution of the optical Jahn-Teller problem. Z. Physik 244, 275–288 (1971). https://doi.org/10.1007/BF01395572
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DOI: https://doi.org/10.1007/BF01395572