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Quantal Brownian motion from RPA dynamics: The master and Fokker-Planck equations

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  • Yannouleas, C.

Abstract

From the purely quantal RPA description of the damped harmonic oscillator and of the corresponding Brownian motion within the full space (phonon subspace plus reservoir), a master equation (as well as a Fokker-Planck equation) for the reduced density matrix (for the reduced Wigner function, respectively) within the phonon subspace is extracted without invoking the Markovian approximation.

Suggested Citation

  • Yannouleas, C., 1985. "Quantal Brownian motion from RPA dynamics: The master and Fokker-Planck equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 132(1), pages 1-27.
    • Handle: RePEc:eee:phsmap:v:132:y:1985:i:1:p:1-27
    DOI: 10.1016/0378-4371(85)90115-3
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    1. Jean-Michel Chasseriaux, 1982. "Une interprétation des fluctuations du prix du pétrole," Revue d'Économie Industrielle, Programme National Persée, vol. 22(1), pages 24-38.
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