Quantum Brownian Motion

  • Philip Pechukas
Part of the NATO ASI Series book series (NSSB, volume 258)


Brownian motion is perhaps the simplest dissipative process, and of course the classical theory of it is well understood. One starts from the Langevin equation
$$M\ddot Q = - \eta \dot Q + F\left( t \right);$$
here η is the friction constant of the (one-dimensional) Brownian particle and F(t) is the memoryless Gaussian random force on it, sufficiently strong to drive the particle to equilibrium at temperature T, <F(t)F(t’)> = 2ηkT δ(t-t’).


Density Operator Langevin Equation Brownian Particle Random Force Binary Collision 
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Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • Philip Pechukas
    • 1
  1. 1.Department of ChemistryColumbia UniversityNew YorkUSA

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