Sorry about the endless stream of questions about Lagrangians. I am actually beginning to detest them a bit;p
Anyway, if we have a Lagrangian in three dimensional space:
L=\frac{1}{2}m\dot{\vec{x}}^{2}+e\vec{A}.\dot{\vec{x}}
where A_{i}=\epsilon_{ijk}B_{j}x_{k} and B is just a constant...
In classical mechanics the Lagrangian depends only on time, position, and velocity. It is not allowed to depend on any higher order derivatives of position. Does this principle remain true for Lagrangians in non-relativistic quantum mechanics? What about relativistic quantum field theory...
I have a problem with a particle experiencing a central force towards some origin, as well as a gravitational force downwards. I've calculated the Lagrangian, and the equations of motion. Now I'm being asked to see if the system follows conservation of angular momentum. How do I do this? I...