ABSTRACT
This means a relaxation time m T /Γ^ for . Since
( q ^ ) never changes according to (11. 14), the relaxation
time for q^ is infinite, which is contrary to what we ex-
pect of a harmonic oscillator. Of course, we know the
motion of a harmonic oscillator too well. The mode-mode
coupling term s v cannot be ignored. In fact, we know
how to solve equations with v ^ easily by taking linear
combinations of (11*4). Let
434 IN T RO D UCTIO N TO DYNAMICS
Then we obtain from (11. 4)
where τ ± are the relaxation times given by
1/t ± = r i /(2mT) ± ( ( Γ /2 m T ) 2 - K / m ) 1/2 . (11. 17)
1 /z Let us assume that Γ^/Tm » (K/m) . Then
1/t + « (Tj/TJ/m ,
1/t _ « Κ( Τ/ Γ ) .
