✍ Scribed by M. Hirokawa
No coin nor oath required. For personal study only.
We show a mathematical relation between the potential of the rotating wave approximation and an estimation of the fluctuation in Mori's theory of generalized Brownian motion. We use this relation to prove that, when an autocorrelation function (R_{A}(t), t \in \mathbb{R}) concerning the Bogoliubov scalar product is given for a certain quantum observable (A) in an equilibrium quantum system in finite volume, we can obtain a Hamiltonian (H_{\mathrm{R} W A}) by making the rotating wave approximation from (R_{A}(t)) such that we reconstruct the autocorrelation function (R_{A}(t)) in the system governed by (H_{\mathrm{RWA}}). (C) 1994 Academic Press, Inc.
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