Why does measuring the position of a particle change its momentum?

In summary, the act of measuring the position of a particle changes its momentum due to the Heisenberg Uncertainty Principle, which states that the uncertainty in measurable quantities is caused by a jolt-like disturbance triggered by observation. However, this explanation is now known to be fundamentally misleading. The principle is deeper than just measurement clumsiness, as any state with a definite position must also have a superposition of momentum. While this may not fully explain the uncertainty principle, it provides a practical way to understand its effects.
  • #1
k9b4
109
2
Why does measuring the position of a particle change its momentum?

Is it because 'measuring' involves shooting EM waves or other particles at the particle, which changes its momentum?
 
Physics news on Phys.org
  • #2
k9b4 said:
Why does measuring the position of a particle change its momentum?

Is it because 'measuring' involves shooting EM waves or other particles at the particle, which changes its momentum?
The HUP (Heisenberg Uncertainty Principle), which is what I assume you are asking about, has nothing to do with how things are measured, it is an expression of a fundamental limitation of nature.

You'll find lots of threads here on this forum about the HUP so I suggest a forum search.
 
  • #3
In this wikipedia article http://en.wikipedia.org/wiki/Uncertainty_principle, it states:

"This ascribes the uncertainty in the measurable quantities to the jolt-like disturbance triggered by the act of observation."

Does that mean that by measuring the particle (ie shooting EM waves at it) changes its momentum?
 
  • #4
k9b4 said:
In this wikipedia article http://en.wikipedia.org/wiki/Uncertainty_principle, it states:

"This ascribes the uncertainty in the measurable quantities to the jolt-like disturbance triggered by the act of observation."

Does that mean that by measuring the particle (ie shooting EM waves at it) changes its momentum?
It may, and it seems likely but I say again, this has NOTHING to do with the HUP. Did you bother to read the sentence directly after that one "Though widely repeated in textbooks, this physical argument is now known to be fundamentally misleading.[4][5]"
 
  • #5
phinds said:
It may, and it seems likely but I say again, this has NOTHING to do with the HUP. Did you bother to read the sentence directly after that one "Though widely repeated in textbooks, this physical argument is now known to be fundamentally misleading.[4][5]"
Why is it fundamentally misleading?
 
  • #6
k9b4 said:
Why is it fundamentally misleading?

It is misleading because it suggests that the particle has both a definite position and a definite momentum before we measure either, and it's just the unavoidable clumsiness of the measurement process that prevents us from discovering both.

In fact, the uncertainty principle is deeper than just unavoidable clumsiness of measurement. Any state in which the position is definite is necessarily a state in which the momentum is a superposition, and vice versa.
 
  • #7
Nugatory said:
It is misleading because it suggests that the particle has both a definite position and a definite momentum before we measure either, and it's just the unavoidable clumsiness of the measurement process that prevents us from discovering both.

In fact, the uncertainty principle is deeper than just unavoidable clumsiness of measurement. Any state in which the position is definite is necessarily a state in which the momentum is a superposition, and vice versa.

Whilst this is undoubtably true, it is nice that a very understandable argument takes you to the same place. I would say that it's not a bad way into the topic of HUP, bearing in mind that it follows the historical pathway to it. Once the practical measurement idea has been accepted - and assuming that the newcomer can actually handle the more formal reasoning - then one can move forward. When you think of the number of times that people ask (nay, plead!) for a "physical interpretation" on PF, it seems reasonable to indulge those people a bit, along with the caveat that there's something more to it.

The result from the HUP is not unlike the result from the Pauli Exclusion Principle. You can work with both of them without losing sleep about the deeper meaning. (That's an Engineer speaking, of course!)
 
  • #8
I don't know why it has become unfashionable to talk about measurement effects when talking about Heisenberg Uncertainty Principle. The measurement effects are a legitimate way of picturing HUP, and it's not wrong. There are different "pictures" of quantum mechanical phenomena, and it's hard to say one is more correct than the other. The HUP says that fundamentally the particle does not possesses a precise value for both noncommuting observables (eg momentum and position). But that doesn't explain why we can't measure the precise values.That's where the measurement effect comes in. This way we can answer both the why and the how.
 

Related to Why does measuring the position of a particle change its momentum?

1. Why does measuring the position of a particle change its momentum?

This phenomenon is known as the Heisenberg uncertainty principle, which states that it is impossible to know both the exact position and exact momentum of a particle at the same time. When a measurement is taken to determine the position of a particle, it inevitably affects the momentum of the particle, making it impossible to accurately measure both at once.

2. How does the uncertainty principle affect our understanding of the physical world?

The uncertainty principle challenges the long-held belief that the physical world can be fully understood and predicted through precise measurements. It introduces an element of randomness and uncertainty into the behavior of particles, and shows that there are limitations to our ability to measure and predict their properties.

3. Is there a way to measure the position and momentum of a particle simultaneously?

No, according to the uncertainty principle, it is impossible to accurately measure both the position and momentum of a particle at the same time. This is not due to limitations in our measuring techniques, but rather a fundamental property of particles in the quantum world.

4. Can the uncertainty principle be applied to macroscopic objects?

The uncertainty principle is a fundamental principle of quantum mechanics and applies to all particles, regardless of size. However, its effects are only noticeable at the subatomic level and are negligible for macroscopic objects.

5. What other principles are related to the uncertainty principle?

The uncertainty principle is related to the concept of wave-particle duality, which states that particles can exhibit both wave-like and particle-like behavior. It is also closely linked to the concept of quantum entanglement, where the properties of two or more particles become linked and cannot be described independently.

Similar threads

Replies
5
Views
852
Replies
11
Views
1K
Replies
3
Views
1K
Replies
7
Views
846
Replies
13
Views
1K
Replies
7
Views
2K
  • Quantum Physics
Replies
3
Views
462
Replies
9
Views
1K
  • Special and General Relativity
Replies
18
Views
2K
Back
Top