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	3) Examples:		3) Examples:
-	Free Particle - simple (pg.70)	+	Free Particle On Line - simple (pg.70)
-	[[Linear Constant Force]]	+	[[Particle on Line: Constant Force]]
-	[[Linear Spring Force]]	+
		+	[[Particle on Line: Linear Spring Force]]
	Simple pendulum		Simple pendulum

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Revision as of 22:26, 2 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 (pg.70)

Particle on Line: Constant Force

Particle on Line: Linear Spring Force

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