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Using EOM in QED Lagrangian [duplicate]

Let's have the QED Lagrangian. $$\mathcal{L} = -\frac{1}{4} F_{\mu\nu}F^{\mu\nu} + \bar{\Psi}(i\partial_\mu \gamma^\mu - m)\Psi + g\bar{\Psi}A_\mu \gamma^\mu \Psi.\tag{1}$$ The equations of motion are:...
Cristhian Calderon's user avatar
1 vote
0 answers
216 views

Trajectory of magnetic dipole in a inhomogeneous magnetic field

Goal: I want to use Python to illustrate how a magnetic dipole with magnetic moment m2 moves in a non-homogeneous magnetic field in a 2D-Plane. This field is generated by another magnetic dipole with ...
tester931's user avatar
1 vote
2 answers
735 views

Motion of charged particle in uniform magnetic field and a radially symmetric electric field

This question posted by me on MSE talks about a physics problem. This is what it was: (I hope someone can help me with this) Consider a region of 2-dimensional space with a uniform magnetic field of ...
anonymous's user avatar
  • 121
2 votes
3 answers
1k views

Missing equations in Maxwell's equations

We have Maxwell's Equations (ignoring permittivity and permeability of free space) $$ \nabla\cdot E=\rho\;;\;\nabla\times E=-\frac{\partial B}{\partial t} $$ $$ \nabla\cdot B=0\;;\;\nabla\times B=\...
firest's user avatar
  • 115