We derive the exact action for a damped mechanical system (and the spe
cial case of the linear oscillator) from the path integral formulation
of the quantum Brownian motion problem developed by Schwinger and by
Feynman and Vernon. The doubling of the phase-space degrees of freedom
for dissipative systems and thermal field theories is discussed and t
he initial values of the doubled variables are related to quantum nois
e effects. (C) 1995 Academic Press, Inc.