Eva Miranda

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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

Okay, we associate operators on a Hilbert space and the commutator.

Uh okay, and this reminds me of a film that maybe you cannot project, but okay.

Okay, so after watching this uh movie, everybody wanted to be w uh do a PhD in physics or in quantum mechanics or something, right?

So uh indeed uh in this picture we have uh right this this is Bohr in principle.

I don't know if this is true, huh?

But uh Bohr talking to Oppenheimer, right, about uh algebra being

like the sheet of music where you write the music.

And the music is quantum theory in a way.

That's a little bit also the idea of Dirac.

So that's a beautiful, beautiful metaphor indeed.

I like it a lot.

So indeed Dirac, uh that's the the dream of Dirac, A B going to this bracket, okay?

And indeed the quantization map, uh, this bridge is exactly a map that associates to the bracket of uh in the classical world, which is the Poisson bracket, the bracket of operators, okay?

That's the quantization.

And so can you hear the music is can you do this quantization, right?

Um the truth is that this is a nice dream of Dirac, but it doesn't work.

So okay, we can hear the music but not for a long time.

So it doesn't work already for quadratic functions.

So here you have an example of two quadratic functions, x square and p and p square.

And the classical bracket is for uh xp, okay.

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