What is the Name of the Four-Vector with p-eA?

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SUMMARY

The four-vector with components p-eA is referred to as the canonical four-momentum. This term is used to distinguish it from the mechanical momentum, which is expressed as mv = p - eA. The discussion clarifies that the ambiguity regarding the sign of e does not affect the identification of this four-vector. Understanding these distinctions is crucial for comprehending advanced concepts in theoretical physics.

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actionintegral
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Hello all,

We know that (E,p) are the components of a four vector and it is called the four-momentum.

Likewise (V,A) are the components of a four-vector and it is called the four-potential.

But it seems that the four-vector with p-eA is the most important one, yet I don't recall every learning it's name. Does it have a name?
 
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actionintegral said:
Hello all,

We know that (E,p) are the components of a four vector and it is called the four-momentum.

Likewise (V,A) are the components of a four-vector and it is called the four-potential.

But it seems that the four-vector with p-eA is the most important one, yet I don't recall every learning it's name. Does it have a name?

canonical 4-momentum?
 
Actually, wouldn't that be the mechanical momentum...? mv = p - eA and all that... I guess as posed the question is ambiguous wrt to whether e is positive or negative.

So either canonical or mechanical 4-momentum ;)
 

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