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

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Discussion Overview

The discussion revolves around the mathematical expression of wave function collapse in quantum mechanics, exploring how this process can be represented mathematically and the implications of such representations.

Discussion Character

  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants mention that non-diagonal components of the density matrix disappear, suggesting that the collapse is not a process but a sudden change.
  • There is a challenge regarding the interpretation of the term "sudden change," with some participants questioning its sensibility in the context of physics.
  • One participant expresses confusion about the concept of a density matrix, implying a need for clarification on this topic.
  • A later reply emphasizes that a transition from a non-zero to a zero value is a common occurrence in physics, using an analogy of a dropped ball to illustrate this point.

Areas of Agreement / Disagreement

Participants express differing views on the nature of wave function collapse, with some agreeing on the suddenness of the change while others seek clarification on the underlying concepts, indicating that the discussion remains unresolved.

Contextual Notes

The discussion includes assumptions about the participants' familiarity with quantum mechanics concepts, particularly the density matrix, which may affect the clarity of the arguments presented.

george1962
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TL;DR
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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