Eva Miranda
speaker
1,609 appearances
1 recordings
1 series
first heard Jan 2025
last heard Jan 2025
Eva Miranda’s voice in public audio — every appearance, attributed to the second.
Trend
recordings per month · last 12 monthsNo recordings in the last 12 months.Older appearances are listed below; set an alert to hear about the next one.
Appearances
And this formula is the the formula that that gives the action angle coordinates.
And the idea was very simple.
He was saying take the symplectic form in a neighborhood of this story.
Can be read this torus, this invariant manifold is a differential of alpha.
And now I take this one form and I integrate.
over the the the homology of this torus.
And this gives me a function which is the action function.
And this is a very so this is a historical remark about this.
And well, many things are understood about integrable system also globally because
This is telling you that an integrable system
Comes together with a torus?
Which is acting on it, indeed.
The torus is acting on it by rotations, and indeed we could think that a neighborhood is a cotangent bundle of the torus and uh the torus is acting by rotations and you are lifting it to the cotangent bundle.
That's what the action angle theorem is telling you.
But you could now think, okay.
Uh I want examples of integra integrable systems.
I gave you a couple of them which have a physical meaning.
But now if I take an action of a torus on a symplectic manifold.
Okay.
And this torus has dimension half of the manifold.
Showing 861–880 of 1,609 · page 44 of 81
← Previous
Next →