Heisenberg's uncertainty principle

In summary, Heisenberg's uncertainty principle is a fundamental concept in quantum mechanics discovered by German physicist Werner Heisenberg in 1927. It states that it is impossible to simultaneously know the exact position and momentum of a particle. This principle is significant because it shows the inherent unpredictability of particles on a subatomic level. It is closely related to the wave-particle duality of light, imposing a limit on the precision of knowing the position and momentum of a photon. While it cannot be violated, it can be circumvented through experimental techniques or by considering large ensembles of particles.
  • #1
lavster
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in Heisenbergs uncertainty principle, how do you know when to use hbar, h, h/2 or hbar/2?

thanks
 
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  • #2
Heisenberg's uncertainty principle is

[tex]\Delta x \Delta p \geq \frac{\hbar}{2}[/tex]

Sometimes people will drop the factor of 1/2 or leave out the 2 pi and write h instead of hbar.

It all depends on what you're looking for. If you need an exact value for the uncertainty, you should use [itex]\hbar/2[/itex].

If you're only only concerned about getting an order of magnitude estimate, dropping the factor of 2, 2 pi, or both, won't affect anything.
 

Related to Heisenberg's uncertainty principle

1. What is Heisenberg's uncertainty principle?

Heisenberg's uncertainty principle is a fundamental concept in quantum mechanics that states that it is impossible to simultaneously know the exact position and momentum of a particle.

2. Who discovered Heisenberg's uncertainty principle?

German physicist Werner Heisenberg discovered the uncertainty principle in 1927 while working on quantum mechanics.

3. What is the significance of the uncertainty principle?

The uncertainty principle is significant because it imposes limitations on the precision with which certain pairs of physical properties of a particle can be known. It shows that the behavior of particles on a subatomic level is inherently unpredictable.

4. How does the uncertainty principle relate to the wave-particle duality of light?

The uncertainty principle is closely related to the wave-particle duality of light, which states that light can exhibit both wave-like and particle-like behavior. In the case of light, the uncertainty principle manifests as a limit on the precision with which the position and momentum of a photon can be known.

5. Can the uncertainty principle be violated?

No, the uncertainty principle is a fundamental principle of quantum mechanics and cannot be violated. However, it can be circumvented by using clever experimental techniques or by considering large ensembles of particles rather than individual particles.

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