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

This could be the sentence of the of the of the day.

Everything looks like a cotangent bundle, so it looks very, very simple.

And now I wanted to talk about the Poisson bracket, so let's talk about Poisson.

Uh well we also the Poisson brackets, but what you don't know is that the first time that they appeared was in this paper by Poisson, which is from eighteen oh nine.

And this uh here you see the notation of the brackets and the Poisson brackets of B and A looks like a parenthesis, okay, but notation has changed.

Here is the first uh article in which the expression of the Poisson bracket

uh appears.

Okay?

And the poisson bracket in the l modern language

Indeed gives us something very interesting.

Remember I was talking about Nethel's principle, right?

Conservation of energy.

Now I'm going to show you that conservation of energy comes for free from the following fact.

I defined, I take a symplectic form.

This is going to be a bit abstract, but let me make this effort.

I take this symplectic form.

This is a two-form.

Okay?

This is a differential two form.

So this differential two form can be applied to two vector fields.

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