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Double slit experiment
#4
No mystery here ... the simplest interpretation for 2-slit is standard QM. The probability amplitude wave passes through each slit and two wavelets emerge on the other side (by Huygen's principle). Then they interfere at the detector. The prob of the electron's position is given by the complex square, or norm, of the result. Where they reinforce each other the electron might appear, where they cancel each other, it doesn't.

If you place a detector in either slit, it destroys the coherent phases, and therefore the interference pattern. You get two "clumps" where the electron will hit. They are identical (almost anyway), it doesn't matter which slit had the detector.

That's all clear enough right?

But now, if you ask "which slit did the electron actually go through" you get into difficulties. Copenhagen says that's a non-question. There was no electron, only the wave, until it hit the detector. There's no "paradox" but many don't like the idea of an electron that (sort of) disappears in transit.

de Broglie - Bohm says there's a real electron; it passed through one slit or the other. The probability amplitude wave is interpreted as the "pilot wave" whose information guides the electron in such a way that it still produces the correct interference pattern. In fact you can just ignore the electron; the pilot wave winds up giving exactly the same result as Copenhagen's probability amplitude wave.

If, with dBB, you put detector in one slit, it destroys the interference and gives the same result. It's a more complicated picture, and the calculations are much more difficult if you want to track where the particle went. But the answer winds up the same. Doesn't matter if the particle went through slit with detector or not. With dBB 2-slit we normally wouldn't care about exact path of particle, just the resulting pattern on the detector. So we would wind up doing exactly the same calculations as with Copenhagen; but with a different picture of what went on in reality.

You might ask what good is dBB if it just gives the same answer, with a more complicated picture. For one thing it retains a classical electron which can be considered an advantage "philosophically". More important, it explains some more complicated QM "paradoxes" better than standard QM.

Anyway - there is no problem or paradox that I can see regarding "which slit" the electron went through, nor the behavior when a detector is placed in a slit, in either Copenhagen or dBB interpretation.
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Messages In This Thread
Double slit experiment - by xelasnave - 05-07-2016, 02:27 AM
RE: Double slit experiment - by Schmelzer - 05-07-2016, 07:57 AM
RE: Double slit experiment - by Ioannis - 05-28-2016, 09:07 PM
RE: Double slit experiment - by secur - 05-29-2016, 01:57 AM
RE: Double slit experiment - by Schmelzer - 05-29-2016, 06:27 AM
RE: Double slit experiment - by Ioannis - 05-29-2016, 11:45 AM

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