Compute the canonical momentum

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Homework Statement
Compute the canonical momentum ##\pi=\frac{\partial L}{\partial \dot{\textbf{x}}}##
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Hi everyone,

I am not sure if I have calculated task b correctly:

Bildschirmfoto 2024-11-13 um 20.16.55.png


The Lagrange function has the form ##L=\frac{1}{2}m\Vert \dot{\textbf{x}}\|^2+\frac{q}{c} \dot{\textbf{x}} \cdot \textbf{A}-q\phi##

I then formed the canonical momentum ##\pi=\frac{\partial L}{\partial \dot{\textbf{x}}}##


$$\pi=m \dot{\textbf{x}}+\frac{q}{c} \cdot \textbf{A}$$
 
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Lambda96 said:
I then formed the canonical momentum ##\pi=\frac{\partial L}{\partial \dot{\textbf{x}}}##

$$\pi=m \dot{\textbf{x}}+\frac{q}{c} \cdot \textbf{A}$$
Should ##\pi## be bold (##\pmb{\pi}##)? Otherwise, it looks good to me.
 
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Thank you TSny for your help 👍

Unfortunately I had forgotten to write ##\pmb{\pi}## :smile:
 
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