canonical Definition and 2 Threads

This is probably a stupid question but say I am in Minkowski s-t and I want to find ##T_{ii}##, (Assuming signature ##(+,-,-,-)##), I get : ##(firstterm) + L = T^{ii}## ##T^{ii}## is a vector but ##L## is a scalar (obviously I appreciate for a more complicated metric the vector form will be...

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}}}##...