Abstract
A straightforward application of theU-matrix formalism is utilized to derive canonical exponential transformations. It turns out that an extremely compact form for these transformations can be written down. In view of the fact that the transformation used so far, mostly have been found by guessing, a simple calculation prescription for them seems to be of great value. As an application the derivation of the already wellknown transformations of theE-e andT-t Jahn Teller problems as well as that of the Fröhlich Hamiltonian is presented. In the Jahn-Teller examples it is further demonstrated, how for each single problem the validity region of the transformation may be examined.
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Sigmund, E., Wagner, M. TheU-matrix as a simple tool to derive canonical transformations. Z. Physik 268, 245–249 (1974). https://doi.org/10.1007/BF01669887
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DOI: https://doi.org/10.1007/BF01669887