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From Vectorcalcumb
(Difference between revisions)
Line 1: | Line 1: | ||
To Do: | To Do: | ||
- | 1) Theoretical Background | + | |
- | Define: | + | 1) Theoretical Background. Define: |
+ | |||
Symplectic Form | Symplectic Form | ||
+ | |||
Hamiltonian function | Hamiltonian function | ||
+ | |||
Vector Field Xh | Vector Field Xh | ||
+ | |||
Phase Space (w/ Example) | Phase Space (w/ Example) | ||
+ | |||
2) Hamiltonian Functions | 2) Hamiltonian Functions | ||
+ | |||
3) Examples: | 3) Examples: | ||
+ | |||
Free Particle | Free Particle | ||
+ | |||
Linear Motion (?) | Linear Motion (?) | ||
+ | |||
Simple pendulum | Simple pendulum | ||
+ | |||
4) Hamiltonian Flow as level sets of H | 4) Hamiltonian Flow as level sets of H |
Revision as of 01:54, 2 May 2006
To Do:
1) Theoretical Background. Define:
Symplectic Form
Hamiltonian function
Vector Field Xh
Phase Space (w/ Example)
2) Hamiltonian Functions
3) Examples:
Free Particle
Linear Motion (?)
Simple pendulum
4) Hamiltonian Flow as level sets of H