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.
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The vector fields to which I'm going to apply this omega, this form.
uh are going to be the Hamiltonian vector field of the function f and the Hamiltonian vector field of the function G.
Remember these Hamiltonian vector fields, we have to find
Like Hamilton's equation, exactly the same, right?
And we define a such a s Poisson bracket.
What happens is that if I take two functions that are the same, F and F, I'm applying a two form that is anti symmetric to two vectors that are the same.
Therefore, the Poisson bracket of a function with itself is zero.
And you say, And so what?
Well
This is exactly Nether's principle.
Nether's principle of conservation of energy can be which was like, you know, a big statement.
Nowadays can be written in this so easy language thanks to the uh Poisson bracket.
The bracket with itself it's zero.
That's exactly Nether's Prince.
Oh, thank you very much.
This is fantastic.
Thank you.
Oh, thank you.
Thank you so much.
Okay.
Showing 561–580 of 1,609 · page 29 of 81
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