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Only in gasses is K very close to unity at w->0.
So why not conclude that figure 31-5 (on page 31-8)
represents a dilute gas? Further evidence in support
of this conclusion comes from the fact that n peaks
at around n=2 or n=3; in a dense substance it could
be a million or so. Atomic resonances have high Q.
Somehow I feel that nobody can
calculate n(w) quantitatively to produce agreement
with experimental data for real substances,
What's the evidence for this inability? Spectroscopy
is a pretty well-established discipline. Spectroscopists
have been calculating lineshapes to high accuracy for a
long time. Really high accuracy.