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questions
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Assignment of energy functions to flows is "equivariant"?
I am trying to understand the 2012 blog post What is a symplectic manifold, really?
It says (with correction of a typo in the second point):
If $f: M \to \mathbb{R}$ is a smooth compactly ...
8
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Can any symplectomorphism (1 Definition of canonical transformation) be represented by the flow of a vectorfield?
For this question I will use the definition that a canonical transformation is a map $T(q,p)$ from the phase space onto itself, which leaves the symplectic 2-form invariant (which is the definition of ...
6
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Hamiltonian flow?
I was wondering what the Hamiltonian flow actually is?
Here is my idea, I just wanted to know if I am correct about this.
So let $(x(t),p(t))' = X_{H}(x(t),p(t))$ are the Hamilton's equations and $...