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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So we have X and P.
Right?
Position and momentum.
And we have we can associate to them operators.
And people know that classically, to the operator of x, you associate just multiplication by x, and to the operator of p you associate this partial derivative of x.
And then you think of an operator that it looks very strange because you are putting a partial derivative and you are putting a multiplication by a function.
But this makes sense because.
you're applying it to another function, which is here is the wave function.
Okay.
So well here just by applying the definition and knowing that the commutator you apply it like the commutator on X and P of the operators is f first applied X to P.
And then P to X, and you need to apply this to the wave function all the time.
Okay.
Then when you do this computation, pim pam pum, at the end everything matches, and you get exactly Schrdinger equation.
I sorry, Schrdinger equation, and you get Heisenberg principle.
Okay?
Heisenberg principle tells you that the commutation the commutator on X and P is like the like a the product of the of the Planck of a Planck constant and I which is a complex number.
Okay?
And this looks exactly like Darbu theorem.
And indeed uh we could just say that we replaced P by the hat of P, Q by the hat of Q, and it almost works.
works, right?
Showing 281–300 of 1,609 · page 15 of 81
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