Is It Possible for an Electron to Be Completely Still?

In summary, according to the uncertainty principle, an electron can be at rest if the uncertainty of its position and momentum is large enough. This is similar to playing hide and seek, where the electron's position is unknown until it is observed. Additionally, the de Broglie wavelength of an electron is infinite when the uncertainty of its momentum is zero, indicating a complete lack of knowledge about its position.
  • #1
repugno
78
0
Can an electron be at rest?
 
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  • #2
yes, according the uncertainty principle, [tex] \Delta x \Delta p \geq h/4 \pi [/tex], when you completely have no idea where the electron is... it could be at rest...(it's like playing HIDE AND SEEK when you were young)
 
  • #3
vincentchan said:
yes, according the uncertainty principle, [tex] \Delta x \Delta p \geq h/4 \pi [/tex], when you completely have no idea where the electron is... it could be at rest...(it's like playing HIDE AND SEEK when you were young)

Ahhh, so that is what is meant when the de broglie wavelenght is infinite? h/0
 
  • #4
yes, [itex] p = hk/2\pi = h/ \lambda [/itex]
if the uncertainty of momentum is zero, sure the wavelength will go to infinity. That's also mean you have completely no idea where the electron is...
 

1. Can an electron ever be at rest?

According to the Heisenberg uncertainty principle, it is impossible to know both the exact position and the exact momentum of an electron at the same time. Therefore, it is not possible for an electron to be completely at rest.

2. Is there a specific speed at which an electron is considered "at rest"?

The concept of "at rest" for an electron is relative. It depends on the frame of reference that is being used to measure its speed. In some frames of reference, an electron may appear to be at rest, but in others, it may be moving at high speeds.

3. Why is it important to understand that an electron cannot be at rest?

Understanding that an electron cannot be at rest is crucial for understanding the behavior of atoms and molecules. The movement of electrons is what creates chemical bonds and determines the properties of different materials.

4. Can an electron ever stop moving?

Due to the Heisenberg uncertainty principle, an electron can never come to a complete stop. It will always have some amount of momentum, even if it appears to be at rest in a particular frame of reference.

5. How does the motion of electrons impact our daily lives?

The motion of electrons is fundamental to many aspects of our daily lives. It is what allows electricity to flow through wires, powers electronic devices, and enables chemical reactions to occur. Without the movement of electrons, many of the technologies and conveniences we rely on would not exist.

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