Can an electron exist at many places at the same time?

Click For Summary

Discussion Overview

The discussion centers around the concept of whether an electron can exist in multiple locations simultaneously, particularly in the context of quantum mechanics and the implications of the electron cloud model. Participants explore theoretical interpretations, measurement implications, and the relationship between classical and quantum concepts.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • One participant suggests that due to uncertainty, an electron exists in a "cloud" around the nucleus, implying it can be in many places at once.
  • Another participant argues that the question of whether an electron is in multiple places is a false dichotomy, stating that the electron's location is only known upon detection.
  • A different participant critiques the oversimplification of Michio Kaku's explanations, asserting that the electron is not in multiple places at once but is localized only upon measurement.
  • One participant introduces the Born interpretation of the wavefunction, explaining that it provides probabilities for finding the electron in specific locations rather than indicating it exists everywhere simultaneously.
  • It is noted that applying the Born interpretation to a Gaussian surface leads to the conclusion that the total enclosed charge is either 0 or -e, challenging the idea of the electron being in multiple locations.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation of the electron's existence in multiple locations, with no consensus reached. Some argue for the electron's probabilistic nature, while others emphasize classical interpretations and measurement implications.

Contextual Notes

The discussion reveals limitations in understanding related to the definitions of quantum states, measurement effects, and the implications of classical concepts like Gaussian surfaces in quantum mechanics.

Godparicle
Messages
29
Reaction score
2
Michio Kaku said:
Because of uncertainty, the electron does not exist at any single
point, but exists in all possible points around the nucleus. This
electron “cloud” surrounding the nucleus represents the electron being
many places at the same time

If I am not wrong, the Michio says that an electron (not the parts of an electron) can be found in many places at the same time. Is that right?

Image20related20to20Gauss20law.JPG


If that is the case, consider a gaussian surface enclosing the electron at many places at the same time, then the charge inside the surface will be integral multiple of e (i.e ne, where n>1). But, we know that charge on electron is just e.

This doesn't seem to allow electron to exist in many places at the same time. So, can an electron really exist in many places at the same time?
 
Last edited:
Physics news on Phys.org
I think your yes / no question is a false dichotomy and you are unlikely to get many people to commit themselves either way. Fact is that the electron can sometimes be accurately located and sometimes it can't. You only know it's there if you detect it but you cannot say where it is without looking. You can chose or not whether that means it's in several places at once - before you find it. We are in the same neck of the woods as Schroedinger's cat here.
Your gaussian surface is a classical concept so I don't think you can validly come to the conclusion you have done.
 
Godparicle said:
If I am not wrong, the Michio says that an electron (not the parts of an electron) can be found in many places at the same time. Is that right?
Kaku is better at science than at explaining science. We spend a fair amount of time here unconfusing people who have been confused by his oversimplified explanations.

There are a bunch of threads over in the quantum mechanics forum about what that electron "cloud" does and does not mean. Roughly speaking, it does not mean that the electron is in many places at once, it means that the electron is nowhere until we precisely measure its position - and obviously you cannot draw a Gaussian surface around it until you have localized it to inside the volume enclosed by that surface. But once you have localized it to that volume, even though it still doesn't have a position more definite than "100% of the cloud is confined within the volume" we do know that there's exactly one electron's worth of charge inside that volume.
 
Are you familiar with the Born interpretation of the wavefunction? The wavefunction does not say that the electron is everywhere at once. It gives you the probability of finding the electron at anyone location in a quantum measurement. If you find it in one place, then you won't find it in any other place using the same measurement. (Future measurements, of course, have an new probability of finding the electron in various places.)

If you apply the Born interpretation to a Gaussian surface, you can calculate the probability of measuring the electron inside that surface, so the total enclosed charge is either 0 or 1 (units of -e).
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 36 ·
2
Replies
36
Views
7K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 11 ·
Replies
11
Views
4K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 30 ·
2
Replies
30
Views
3K
  • · Replies 4 ·
Replies
4
Views
17K