Is a Free Electron in an Electric Field Still Free?

In summary, a free electron is an electron that is not bound to an atom or molecule and can move freely. When an electric field is present, it affects the electron's movement and can even stop it if the field is strong enough. While not completely "free" from external forces, free electrons play a crucial role in understanding and controlling electricity and its applications.
  • #1
Niles
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Hi all

Is a free electron (with momentum p = hbar k) still free if it is in an electric field? I.e., is the momentum is given as p = hbar k?
 
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  • #2
No, it is not free any more. No, the kinetic momentum is different and may well be uncertain because there is no k any more. It depends on the form of the external electric field: uniform, Coulomb, etc., as well as on the problem you solve: stationary states or transitions.
 
Last edited:
  • #3
Hi there,

Under the action of an electric field, the momentum of a free electron will vary.

Cheers
 

1. What is a free electron?

A free electron is an electron that is not bound to an atom or molecule and is able to move freely within a material or in a vacuum.

2. How does an electric field affect a free electron?

When an electric field is present, it exerts a force on the free electron, causing it to accelerate in the direction of the field.

3. Is a free electron truly "free" in an electric field?

Technically, no. While a free electron is not bound to an atom or molecule, it is still affected by the electric field and is not completely free from external forces.

4. Can a free electron be stopped by an electric field?

Yes, if the electric field is strong enough, it can overcome the electron's kinetic energy and stop its movement.

5. What are the implications of a free electron in an electric field?

The behavior of free electrons in an electric field is crucial for understanding and controlling electricity and its applications, such as in electronic devices and power generation. It also plays a role in phenomena such as electric current and conductivity.

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