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

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

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