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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Theories of Everything with Curt Jaimungal · Eva Miranda: The Mathematical Bridge Between Classical and Quantum · 26 Jan 2025 podcast

And the answer to this question is that the Poisson bracket of position and momenta is a constant, is one.

And this is

I could say it's a miracle.

It's like this Heisenberg principle, exactly.

And if I take another function

It's not going to be

a constant.

It's going to be this other function will be a function also of position and momenta.

So when you take the Poisson bracket, maybe you don't get a constant.

You get something more complicated.

So in a way, uh the position and momenta are dual coordinates.

Because the Poisson bracket is one and this is

Magic on.

So yeah, let's go to this.

I mean, you are asking the right questions, that's perfect.

And in a way uh here you know in these slides that I prepare that it looks like I'm teaching a class.

So in a way I'm saying, well, uh symplectic form has something magical that it's a non degenerate uh close to form and this gives me a kind of isomorphism.

Canonical if you want.

uh between the cotangent and the tangent bundle.

I would say natural isomorphism between the cotangent and the tangent.

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