Journal of Statistical Physics

, Volume 46, Issue 5–6, pp 803–810

On the quantum langevin equation

  • G. W. Ford
  • M. Kac


The quantum Langevin equation is the Heisenberg equation of motion for the (operator) coordinate of a Brownian particle coupled to a heat bath. We give an elementary derivation of this equation for a simple coupled-oscillator model of the heat bath.

Key words

Langevin equation quantum stochastic processes Brownian motion heat bath coupled oscillators 


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Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • G. W. Ford
    • 1
  • M. Kac
    • 2
  1. 1.Department of PhysicsUniversity of Southern CaliforniaLos Angeles
  2. 2.Department of MathematicsUniversity of Southern CaliforniaLos Angeles
  3. 3.Department of PhysicsUniversity of MichiganAnn Arbor

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