Does the Wave Function Predict the Most Likely Position of an Electron?

Click For Summary

Discussion Overview

The discussion revolves around the interpretation of the wave function in quantum mechanics, particularly regarding its role in predicting the position of an electron upon the collapse of the wave function. Participants explore concepts related to superposition, measurement, and probability in quantum systems.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants propose that the wave function describes the probability of finding a particle in a certain state upon collapse.
  • Others argue that the wave function does not necessarily have to be destroyed by the collapse and can retain its validity post-collapse.
  • A participant questions whether the wave function provides any information about which state a particle will end up in after collapse, emphasizing the role of measurement in this process.
  • It is suggested that the collapse is influenced by the measuring device and can lead to a different state than the initial superposition, depending on various factors.
  • One participant references the Born rule, stating that it provides the conditional probability of obtaining a particular state after collapse based on prior information.
  • A hypothetical example involving an electron in a double well potential is presented, discussing how the wave function describes probability amplitudes and the likelihood of finding the electron in different energy states.
  • The example raises the question of whether the electron would be found in the lower energy well more frequently due to the greater probability associated with that state.

Areas of Agreement / Disagreement

Participants express varying interpretations of the wave function's role and the nature of collapse, indicating that multiple competing views remain without a clear consensus on the matter.

Contextual Notes

There are limitations in the discussion regarding assumptions about the nature of wave function collapse, the definitions of states, and the influence of measurement devices, which remain unresolved.

Billyneutron
Messages
13
Reaction score
0
Hi. I have a simple question-

Does the wave function describe probability of finding a particle in a certain state upon collapse of the wave function?
 
Physics news on Phys.org
Wave function upon a collapse can be as good as before collapse. Wave functions do not have to be destroyed by the collapse. Yet sometimes people destroy them by their unrealistic assumptions like, for instance, that the wave function collapses to a Dirac delta state.
 
Thanks for the reply. My question is more general, though.

A particle in superposition collapses to one state. Does the wave function give any information/probability which "state" the particle will end up in following collapse?
 
That depends on what is causing the collapse. The collapse does not happen by itself. It is caused by some measuring device. The state of your quantum system can be a superposition of two states and then collapse into a completely different third state - depending on the overall physical situation and also on some random factors.
 
Billyneutron said:
A particle in superposition collapses to one state. Does the wave function give any information/probability which "state" the particle will end up in following collapse?

Yes, that's exactly that point of the wavefunction. As per the born rule, you get the conditional probability of obtaining a particular state after the collapse; given the information before the collapse.

The "collapse" itself, is in this sense nothing but an "information update", which by itself is an observer dependent event.

/Fredrik
 
Thanks guys, and I appreciate your patience with me!

Consider this hypothetical overly-simplified example.
Let's say an electron can occupy two positions (double well) in a protein, separated by an energy barrier.

A wave function would then describe probability amplitudes of finding the electron in either position (or, rather, BOTH positions). Superposition of the electron in both positions is a necessity of the wave function..?

Since there is an energy barrier separating the double well, then there seemingly would be greater probability of finding the electron in the lower well than the higher energy well... and so, upon observation, the electron could be in either (lower energy, or higher energy via tunneling), however, since there is greater probability the electron will be observed in the lower energy well, then.. would you say- once an observation is made, the electron will be found in the lower energy well "more often than not"?

Again, thanks for your patience.. I'm a life science guy :)
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 3 ·
Replies
3
Views
6K
  • · Replies 59 ·
2
Replies
59
Views
8K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 32 ·
2
Replies
32
Views
4K