Undergrad What is the mathematical expression of the process of the wave functions collapsing?

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The discussion centers on the mathematical representation of wave function collapse in quantum mechanics, highlighting that non-diagonal components of the density matrix vanish, indicating a sudden change rather than a continuous process. Participants debate the clarity of this concept, with some expressing confusion about the density matrix itself. There is a suggestion to adjust the thread's complexity level based on participants' understanding. Ultimately, the conversation emphasizes the need for a clearer explanation of the mathematical principles involved in wave function collapse. The thread concludes with a note that the original poster is unavailable for further discussion.
george1962
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What is the mathematical expression of the process of the wave functions collapsing?
People very often say the collapse of the wave functions in the discussion of quantum mechanics, then how to write this process in math form?
 
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Non- diagonal components of density matrix disappear. No process but a sudden change.
 
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anuttarasammyak said:
Non- diagonal components of density matrix disappear. No process but a sudden change.
It does not make sense, but still thanks ！
 
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What doesn't make sense? If you mean "I don't know what a density matrix is", that's fine, but then this thread should be B-level.
 
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Vanadium 50 said:
What doesn't make sense? If you mean "I don't know what a density matrix is", that's fine, but then this thread should be B-level.
Agreed.

@george1962 -- Should I change this thread prefix from "I" (undergraduate physics level) to "B" (basic high school math level)?
 
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I mean the “ sudden change”
 
george1962 said:
I mean the “ sudden change”
What doesn't make sense? That a number used to be non-zero and now it's zero? That's perfectly sensible. It happens all the time in physics. ("A ball is dropped from rest at a height h")
 
george1962 said:
TL;DR Summary: What is the mathematical expression of the process of the wave functions collapsing?

People very often say the collapse of the wave functions in the discussion of quantum mechanics, then how to write this process in math form?
See here for the basics:

https://www.physicsforums.com/threads/the-7-basic-rules-of-quantum-mechanics.971724/

For more details, consult any QM textbook.

Thread closed as the OP is now taking an unscheduled vacation.
 
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