Can Electrons Have Energy Below Their Rest Mass?

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SUMMARY

Electrons can possess kinetic energy below their rest mass energy of 511 keV, specifically when their energy is less than 511 keV, such as 100 keV. This energy is derived from the equation for kinetic energy, which is expressed as ##\sqrt{p^2c^2+m_e^2c^4}-m_ec^2##. The discussion clarifies that the reference to 100 keV pertains to the kinetic energy of the electron, which is relevant when considering how electrons are generated, particularly through acceleration in a potential difference of 100 kV.

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blue_leaf77
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This may be a naive question but this has been bothering me. I read that electrons having energy above 100 keV are considered as relativistic, on the other hand electron's rest mass is 511 keV. How can a free electron have energy less than its rest mass? What kind of energy implied in saying that 100 keV? Is it ##\sqrt{p^2c^2+m_e^2c^4}-m_ec^2##?
 
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Yes, they are surely referring to the kinetic energy of the electron, not the total energy. I think this is common practice, because the kinetic energy relates directly to how you produce the electrons in the first place, i.e. effectively accelerate them through a potential difference of 100 kV.
 
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Thanks!
 

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