Compute the canonical momentum

[Lambda96]

Homework Statement

Compute the canonical momentum $\pi=\frac{\partial L}{\partial \dot{\textbf{x}}}$

Relevant Equations

none

Hi everyone,

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

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 $\pi=\frac{\partial L}{\partial \dot{\textbf{x}}}$


$$\pi=m \dot{\textbf{x}}+\frac{q}{c} \cdot \textbf{A}$$

 

[TSny]

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.

 

[Lambda96]

Thank you TSny for your help

Unfortunately I had forgotten to write $\pmb{\pi}$