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0 votes
1 answer
214 views

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 ...
Ricardo Buring's user avatar
8 votes
1 answer
702 views

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 ...
Quantumwhisp's user avatar
  • 6,763
6 votes
1 answer
5k views

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 $...
Pritam Bemis's user avatar