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Free Particle
Free Particle
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Linear Motion (?)
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[[Linear Constant Force]]
Simple pendulum
Simple pendulum

Revision as of 22:22, 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

Linear Constant 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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