Re: A classical mechanics aperitif

From: Arnold Neumaier (Arnold.Neumaier_at_univie.ac.at)
Date: 03/23/05 

Date: Wed, 23 Mar 2005 00:38:32 +0000 (UTC)
To: sci-physics-research@moderators.isc.org

Larne Pekowsky wrote:

> I have a few more questions at this point. First, the connection
> between exponentiation and integration here seems very deep and more
> than a little mysterious. Anyone have any insights on this? Second,
> while it's cool that we have a Lie group and algebra, what does that
> tell us about what's actually going on? Is this situation too simple
> to see the utility? I gather that there are other relevant Lie
> algebras/groups, notably the algebra given by the Poisson brackets on
> functions. I assume there's some relationship between this algebra
> and the one on the hamiltonian, and that this relationship has
> something to do with h=dH?

You may find the book by Marsden and Ratiu interesting.
It is all about Lie algebras and symplectig geometry in mechnaics.

Arnold Neumaier

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