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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Okay?

And then you say, okay.

This is very cool.

But what do you why do you need?

Why do you need this three-dimensional sphere?

Because a sphere, you can rotate it around and stays the same, right?

It has symmetries.

So I'm going to use the symmetries of the sphere to find another function that Poisson commutes.

Well, I realized that I have rotational symmetry on this sphere.

So the angular momentum physics is telling me which function to pick.

Physics is telling me take the annular momentum.

Well, the angular momentum is this function which we call L here.

And you can check that this L commutes with F.

How do you do this?

Well, I did here the computation for you.

XL is this vector field, and then if you apply it to H, you get a zero.

So this is an interroble system on the harmonic oscillator.

Can?

Okay.

Another example that it's going to be quite striking to some.

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