A reformulation of the selfconsistent collective-coordinate method of Marumori, Maskawa, Sakata and Kuriyama is given in a biunitary representation for the purpose of studying the relation to the generalized Dyson boson mapping. It is shown that, in this reformulation, a special choice of representation gives the c-number version of the generalized Dyson boson mapping. It is also shown that this representation yields a powerful method to estimate the coupling effect between collective and non-collective phonon degrees of freedom in the large-amplitude collective motion.
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