No I haven't, okay thank you, I'll look into that :)HomogenousCow said:Have you seen the Lagrangian that gives you Maxwell's equations? That term just comes from the coupling to matter.
A Hamiltonian background magnetic field refers to a magnetic field that is present in a system and is described by the Hamiltonian equations, which are a set of equations that describe the dynamics of a system over time.
An electric field can perturb a Hamiltonian background magnetic field by exerting a force on the charged particles in the system, causing them to move and creating a change in the magnetic field.
The effects of perturbing a Hamiltonian background magnetic field with an electric field can include changes in the trajectory and velocity of charged particles, alterations in the magnetic field strength and direction, and the generation of electromagnetic waves.
The Hamiltonian background magnetic field can influence the motion and behavior of charged particles in a system by exerting a force on them and causing them to follow a specific trajectory, as described by the Hamiltonian equations.
Yes, the Hamiltonian background magnetic field can be manipulated by altering the strength of the electric field. By changing the electric field, the force exerted on the charged particles can be modified, resulting in changes to the magnetic field and its effects on the system.