Phase Space/Sympletic Manifold
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Pair (M,W) where M is a differentiable manifold, and W is a closed, no degenerate differential 2-form on M. (pg. 62) | Pair (M,W) where M is a differentiable manifold, and W is a closed, no degenerate differential 2-form on M. (pg. 62) | ||
| + | Phase spaces are never compact. Tourus/Sphere example? (pg. 62) | ||
2 examples: | 2 examples: | ||
Current revision as of 20:36, 2 May 2006
Pair (M,W) where M is a differentiable manifold, and W is a closed, no degenerate differential 2-form on M. (pg. 62)
Phase spaces are never compact. Tourus/Sphere example? (pg. 62)
2 examples:
1) particle on line:2D plane w/ area form (pg.20)
2) n particles on line: R^(2n) w/ symplectic form (pg. 39)
