Is a Free Electron in an Electric Field Still Free?

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SUMMARY

A free electron in an electric field is not considered free due to the influence of the field on its momentum. The momentum, defined as p = ħk, changes under the electric field's action, resulting in kinetic momentum that may become uncertain. The specific characteristics of the electric field, whether uniform or Coulomb, significantly affect the electron's behavior, particularly in stationary states or during transitions.

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  • Basic grasp of stationary states and quantum transitions
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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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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:
Hi there,

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

Cheers
 

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