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

Click For Summary
SUMMARY

The discussion centers on the mathematical representation of wave function collapse in quantum mechanics, specifically addressing the disappearance of non-diagonal components of the density matrix. Participants debate the clarity of this concept, with some suggesting that the sudden change in these components is a sensible phenomenon in physics. The conversation highlights the need for a foundational understanding of density matrices to fully grasp the implications of wave function collapse. For further exploration, participants are directed to basic quantum mechanics resources.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with density matrices
  • Knowledge of wave function concepts
  • Basic mathematical skills in linear algebra
NEXT STEPS
  • Study the mathematical formulation of density matrices in quantum mechanics
  • Explore the implications of wave function collapse in various quantum systems
  • Review the 7 basic rules of quantum mechanics as outlined in relevant literature
  • Consult advanced quantum mechanics textbooks for deeper insights
USEFUL FOR

Students of quantum mechanics, physicists, and anyone interested in the mathematical foundations of wave function collapse and density matrices.

george1962
Messages
4
Reaction score
2
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?
 
Physics news on Phys.org
Non- diagonal components of density matrix disappear. No process but a sudden change.
 
Last edited by a moderator:
anuttarasammyak said:
Non- diagonal components of density matrix disappear. No process but a sudden change.
It does not make sense, but still thanks !
 
Last edited by a moderator:
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.
 
  • Like
Likes   Reactions: bhobba and berkeman
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)?
 
  • Like
Likes   Reactions: bhobba
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.
 
  • Like
Likes   Reactions: bhobba and DrChinese

Similar threads

  • · Replies 90 ·
4
Replies
90
Views
5K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 43 ·
2
Replies
43
Views
5K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 137 ·
5
Replies
137
Views
25K
  • · Replies 105 ·
4
Replies
105
Views
8K
  • · Replies 25 ·
Replies
25
Views
4K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K