Do Electrons need Energy to Excite the EM field?

In summary, the rest energy of an electron is equal to its mass energy with E=mc^2 because the particle property associated with mass is not used up to excite the Higgs field, unlike the particle property associated with electromagnetic charge which does not require "charge energy" to excite the electromagnetic field. This is due to the self-energy of the electron being handled through renormalization. Therefore, there is no energy left over for the EM field because the rest energy is already accounted for through the Higgs field.
  • #1
Ryan Reed
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Electrons have both mass and electromagnetic charge, so why is it that an electron's rest energy is equal to its mass energy with E=mc^2? Shouldn't it have some energy left over to excite the electromagnetic field? The mass energy excites the Higgs field, so why is there no energy for the EM field?
 
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The particle property associated with EM is charge, no "charge energy" is used up to make an excitation of the EM field producing a virtual photon.
The particle property associated with higgs is mass... you will notice that the particle does not lose mass energy to excite the higgs field producing the higgs boson.
Note: you cannot do physics by analogy.
 
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  • #3
Ryan Reed said:
Electrons have both mass and electromagnetic charge, so why is it that an electron's rest energy is equal to its mass energy with E=mc^2? Shouldn't it have some energy left over to excite the electromagnetic field? The mass energy excites the Higgs field, so why is there no energy for the EM field?

The field E around an electron (or any charged particle) has energy proportional to E^2. It's thought this energy actually contributes to the rest mass of the electron. But it will never lose any of that energy to excite some other field.
 
  • #4
... the self-energy of the electron, handled through renormalization.
It's kinda tricky to figure how best to answer this question since it seems to combine pop science descriptions.
 
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FAQ: Do Electrons need Energy to Excite the EM field?

Do electrons need energy to excite the EM field?

Yes, electrons need energy to excite the EM field. This energy can come from various sources such as heat, light, or electric fields. Without this energy, the electrons will not be able to emit electromagnetic waves.

What happens to the electrons when they are excited?

When electrons are excited, they absorb energy and move to a higher energy state. This causes them to vibrate and produce electromagnetic waves. Once the energy is released, the electrons return to their original state.

Can electrons excite the EM field without a source of energy?

No, electrons cannot excite the EM field without a source of energy. This is because the energy is needed to move the electrons to a higher energy state, which allows them to emit electromagnetic waves.

How does the amount of energy affect the excitation of the EM field?

The amount of energy affects the excitation of the EM field in two ways. First, the higher the energy, the greater the amplitude of the electromagnetic waves produced. Second, the frequency of the waves is directly proportional to the energy, so higher energy means higher frequency waves.

Can the excitation of the EM field be controlled?

Yes, the excitation of the EM field can be controlled by controlling the amount and type of energy given to the electrons. This is the principle behind devices such as radios and televisions, which use different frequencies of electromagnetic waves to transmit information.

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