A First Course in String Theory

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The Lorentz force equation (3.5) can be written relativistically as

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where is the four-momentum.

(a) Check explicitly that this equation reproduces (3.5) when is a spatial index.

(b) What does (1) gives when ? Does it make sense?

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Eq. (3.5):

Eq. (2.20):

if

Eq. (2.21):

The spacetime interval is Lorentz invariant. If , we have Eq. (2.27) and (2.28):

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— Me@2022-08-04 04:17:59 PM

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