I have taken the occasion of a second edition for enhancements and re?- ments that preserve the
spirit of the original. I have more fully portrayed the remarkable relationships between
symmetry group generators and their Lie bracket and the dynamical invariants of those
symmetries and their Poisson bracket in Chapter 3. The radical departure of quantum waves from
classical waves is more sharply drawn in Chapter 5. The spectacular way in which the states of
the hydrogen atom unfold from its symmetries is the centerpiece of qu- tum Kepler motion. I now
lead readers more deliberately through this unfolding by showing how the master quantum number
orchestrating fo- dimensional rotational symmetry orchestrates the hydrogen atom states. I o?er
readers in Chapter 7 a more descriptive portrait of the break-up of regular Kepler motion on
tori into periodic resonant points when the motion becomes chaotic. And I now include a sketch
of KAM Theory- thegreatestachievementincelestialmechanicsofthetwentiethcentury-in
properly?llingoutthestoryofchaoticKeplermotion. Lastly anewedition has given me the opportunity
to correct errors. The Fields of Michael and Gabriel David Oliver Meadows of Dan Virginia USA
Autumn 2002 ix Preface to the First Edition The universe embraces with sensual presence. No
thought no word is needed to behold sky sun moon stars. It is not in re?ection but in expe-
encethatoneinhalestheearthysmellsofdampwoods becomesdizzyunder the sweep of the starry night
sky basks in the sun's warmth rolls in ocean breakers tastes salt. The sensual universe is
open available immediate.
