David Wallace
speaker
1,940 appearances
2 recordings
1 series
first heard May 2025
last heard 20 Jul
David Wallace’s voice in public audio — every appearance, attributed to the second.
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Appearances
I can evolve that measure forward under
Bluewille's equations.
And that's also a dynam a set of dynamical equations.
Um and at a very abstract level, both the classical mechanical equations for the phase space point
And the Louvial equations for the phase space distribution are the same kind of thing.
You take a mathematical object, you plug it into a differential equation, you get out a mathematical object later.
Our interpretation of those mathematical objects classical mechanics is different though.
For the phase space point, we think about that point as representing
actual physical features of the specific system we're studying.
Like for instance, if the face base point says
particle seven has velocity fifteen in the x direction, then we think it does.
That's that that's saying a thing about the physical system.
Different phase space points correspond to different ways the world could be.
Uh, we don't think about the probability distribution in phase space the same way.
We think about that as more well, there's lots of ways to think about it, but you might we might think that it codifies our ignorance about what the true properties of the system are.
Or maybe it abstracts over a large collection of similar systems and says like some of them have these properties and some of them have these properties.
But in any case, that phase space distribution is not representing
physical properties of a single system.
Uh and so what I want to say is the quantum state is like the phase space point.
It's not like the phase based distribution.
Showing 701–720 of 1,940 · page 36 of 97
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