Editing Project

!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
@@ Line 28: / Line 28: @@
 ) 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