Abstract
For a model given previously by the authors describing a structural phase transition we compute theq-mode critical fluctuations of momentum and displacement as a function of the critical temperatures, the wave vectorq, and a fading-out external field. An explicit dependence on the rates of fading out is obtained. In order to define the critical fluctuation operators we prove a reconstruction theorem, which is of model-independent value. Finally we study the critical spectrum and get rigorous results on the soft modes and the central peak.
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Verbeure, A., Zagrebnov, V.A. Dynamics of quantum fluctuations in an anharmonic crystal model. J Stat Phys 79, 377–393 (1995). https://doi.org/10.1007/BF02179394
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DOI: https://doi.org/10.1007/BF02179394