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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But we need to understand what we are getting.

In a way.

What do we need to understand?

On one side we have classical systems with observables.

Observables are the observables of the classical systems, the energy of your system, etcetera.

Uh, this could be potential energy, whatever.

And these are functions.

I uh this C infinity M is just functions on I would say a manifold.

But if you don't want to think about a manifold, think about think about the Euclidean space.

These are just functions.

And there, when I have classical systems, there is uh the dynamics is governed by a bracket, which is the Poisson bracket, which I will talk about.

And now I'm just presenting the ingredients and then I will go the

into them.

On the other side.

We have quantum systems.

Instead of functions, these observables, we have operators on a Hilbert space.

This is what we want.

And instead of the bracket, we have the commutator of these operators that satisfies this formula here.

You can see.

And well here you have another you see a mathematician, right, struggling to see how to go from one side to the other.

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