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Revision as of 21:31, 2 May 2006 (edit) Aaronwelles (Talk | contribs) ← Previous diff		Current revision as of 00:10, 3 May 2006 (edit) (undo) Aaronwelles (Talk | contribs)
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	[[Hamiltonian function]]		[[Hamiltonian function]]
-	Vector Field Xh	+	[[Hamiltonian Vector Field (Xh)]]
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	3) Examples:		3) Examples:
-	Free Particle	+	[[Free Particle On Line]] - simple, done in text (pg.70)
-	Linear Motion (?)	+	[[Particle on Line: Constant Force]]
		+
		+	Particle on Line: Linear Spring Force - done in text (pg.70)
	Simple pendulum		Simple pendulum

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Current revision as of 00:10, 3 May 2006

!To Do:

1) Theoretical Background. Define:

Phase Space/Sympletic Manifold (w/ Example)

Symplectic Form

Hamiltonian function

Hamiltonian Vector Field (Xh)

2) Hamilton's Equations

3) Examples:

Free Particle On Line - simple, done in text (pg.70)

Particle on Line: Constant Force

Particle on Line: Linear Spring Force - done in text (pg.70)

Simple pendulum

4) Hamiltonian Flow as level sets of H

The paragraph: "But energy is more than just a conserved quantity: it determines .." (pg.65) (1st page of Chpt 4) is a dramatic pargraph and I like it. We should start out with something of this nature as an opening paragraph. -aaron