Quantum mechanics and the speed of light

In summary, the conversation discusses the application of the equation mv^2/r=(ke^2)/r^2 to describe the speed of electrons in a hydrogen atom. It is stated that in quantum mechanics, this equation is not applicable and cannot be used to describe quantum phenomena. The concept of speeds greater than the speed of light is also mentioned, but it is clarified that this does not apply to quantum mechanics.
  • #1
ghadir-jafari
10
0
in hydrogen atom we write:
mv^2/r=(ke^2)/r^2
then for r < (ke^2)/mc^2
the speed of electron must be fast than light to be in this area.
but in quantum mechanics we have some probbility to be there.

thus in quantum mechanics we have some probbility to have speeds big than light.

is this true?
 
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  • #2
No.
Because electrons are not small balls "orbiting" the nucleus, your first equation is simply not applicable.
You can't use classical physics to describe quantum mechanical phenomena.
 
  • #3
The equation you are using is from nonrelativistic classical physics, and so has nothing relevant to say about speeds being less or greater than c, nor does your conclusion have anything to do with QM.
 

1. What is the relationship between quantum mechanics and the speed of light?

Quantum mechanics is a branch of physics that studies the behavior of particles on a microscopic scale, while the speed of light is a fundamental constant in the universe. In quantum mechanics, the speed of light plays a crucial role in determining the behavior and interactions of subatomic particles.

2. How does quantum mechanics affect our understanding of the speed of light?

Quantum mechanics challenges our classical understanding of the speed of light as an absolute limit and introduces the concept of wave-particle duality. According to quantum mechanics, particles can also exhibit wave-like behavior and can exist in multiple states simultaneously, including states that would exceed the speed of light in classical physics.

3. Can the speed of light be exceeded in quantum mechanics?

No, the speed of light is still considered to be the ultimate speed limit in quantum mechanics. While particles can exhibit behaviors that may appear to exceed the speed of light, these are not actual speeds but rather probabilities of where the particles may be found.

4. How does quantum entanglement relate to the speed of light?

Quantum entanglement is a phenomenon in which two or more particles become connected in such a way that the state of one particle can affect the state of the other, regardless of the distance between them. This instantaneous connection between entangled particles is not limited by the speed of light and has been demonstrated in numerous experiments.

5. Could quantum mechanics lead to faster-than-light travel?

While quantum mechanics does not allow for actual speeds faster than light, some theories suggest that it could potentially be used to manipulate space-time and create shortcuts or wormholes that would allow for faster travel. However, these theories are still highly speculative and have not been scientifically proven or demonstrated.

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