A mathematical relation between the potential of the rotating wave approximation and an estimation of the fluctuation in mori′s theory

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Abstract

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 RA(t), t ∈ 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 HRWA by making the rotating wave approximation from RA(t) such that we reconstruct the autocorrelation function RA(t) in the system governed by HRWA.

Original languageEnglish
Pages (from-to)185-210
Number of pages26
JournalAnnals of Physics
Volume234
Issue number2
DOIs
Publication statusPublished - Jan 1 1994
Externally publishedYes

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autocorrelation
approximation
scalars
products

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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abstract = "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 RA(t), t ∈ 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 HRWA by making the rotating wave approximation from RA(t) such that we reconstruct the autocorrelation function RA(t) in the system governed by HRWA.",
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