The European Physical Journal Special Topics

, Volume 159, Issue 1, pp 135–141 | Cite as

Kinetic description of quantum Brownian motion

  • B. VacchiniEmail author
  • F. Petruccione


We stress the relevance of the two features of translational invariance and atomic nature of the gas in the quantum description of the motion of a massive test particle in a gas, corresponding to the original picture of Einstein used in the characterization of Brownian motion. The master equation describing the reduced dynamics of the test particle is of Lindblad form and complies with the requirement of covariance under translations.


Brownian Motion European Physical Journal Special Topic Master Equation Test Particle Translational Invariance 
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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Authors and Affiliations

  1. 1.Dipartimento di Fisica dell'Università di Milano and INFNMilanItaly
  2. 2.School of Physics, Quantum Research Group, University of KwaZulu-NatalDurbanSouth Africa

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