Project

From Vectorcalcumb

(Difference between revisions)
Line 18: Line 18:
3) Examples:
3) Examples:
-
Free Particle
+
Free Particle - simple (pg.70)
[[Linear Constant Force]]
[[Linear Constant Force]]

Revision as of 22:23, 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 - simple (pg.70)

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

Personal tools