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Feb 3 at 6:17 comment added knzhou This looks like an extraordinarily complicated way to write something very simple. Sure, one can always inflate the size of notation as much as desired, but why?
Feb 3 at 6:07 history edited mma CC BY-SA 4.0
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Jan 21 at 8:40 history edited mma CC BY-SA 4.0
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Jan 21 at 8:15 history edited mma CC BY-SA 4.0
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Jan 19 at 13:16 history edited Qmechanic
res. recom. qs can usually not be mixed wth an actual physics q
Jan 19 at 13:14 history edited Quillo CC BY-SA 4.0
link to the book and typo correction
Jan 19 at 13:04 history edited mma CC BY-SA 4.0
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Jan 19 at 12:07 comment added mma Let us continue this discussion in chat.
Jan 19 at 12:03 comment added FlatterMann Let's take this to chat, if you want to. Technically the double slit is not even quantum mechanics. Planck's constant is not in it and we aren't analyzing multi-quantum correlations like in the case of entanglement experiments, either. The double slit diffraction function is perfectly classical. Young had an explanation for it in 1801, a hundred years before quantum mechanics was even conceived of. And like I said, the scattering of a real double slit is not even unitary, i.e. the formalism doesn't even apply to it without ad-hoc modifications.
Jan 19 at 12:00 comment added mma In my opinion, double slit is the simplest example in quantum mechanics. And yes, it is a unitary process. This process is responsible for spreading the probability after the slits from the slits to the whole y axis.
Jan 19 at 11:58 comment added FlatterMann Classical corpuscles don't have diffraction functions. Only quanta of energy have those... but quanta don't have location. A single quantum doesn't have a probability distribution and a state, either. Only the quantum mechanical ensemble has those. It seems to me that there is something rather strange going on in this argument that mixes concepts that are completely unrelated.
Jan 19 at 11:54 comment added mma x coordinate is classical. No quanta. Only y coordinate is quanta. It has a probability distribution in a given state.
Jan 19 at 11:52 comment added FlatterMann There is no approximation in which quanta have position and velocity. Moreover, the double slit is not even a good example for quantum mechanics. It's no even a unitary process.
Jan 19 at 11:23 comment added mma @FlatterMann This is an approximation. As written above, x coordinate is treated classically while y by quantum. mechanics. It's not my idea, see the reference given. I note that this kind of notion of conditional probability isn't clear to me, but it works here.
Jan 19 at 10:47 comment added FlatterMann Quanta don't have positions and they don't have velocities. I do not understand what you are trying to do here. The entire argument doesn't match any physically workable definition of quantum that I have ever seen.
Jan 19 at 6:26 history asked mma CC BY-SA 4.0