The Use of Coherent States in the Theory of Quantum Crystals
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The coherent state formalism is applied to the calculation of the phonon frequencies in quantum crystals. The normal mode frequencies are determined using an expansion in powers of the displacements of the centers of the single-particle distributions rather than of the particles. The known results of the RPA and of Meissner's inversion of the displacement–displacement correlation function are derived in a simple way, and the connection with Feynman's method for liquid helium is discussed. The method of constant short-range correlations is introduced and compared with the recent work of Koehler and Werthamer.
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