Part of the NATO ASI Series book series (NSSB, volume 258)
Quantum Brownian Motion
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
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’).
$$M\ddot Q = - \eta \dot Q + F\left( t \right);$$
KeywordsDensity Operator Langevin Equation Brownian Particle Random Force Binary Collision
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Plenum Press, New York 1991