# Schroedinger's Equation for Electromagnetic field induced by charged wire

1. Sep 14, 2011

### opticalnectar

Greetings all!

I'm completely new to Quantum Mechanics (my PhD research is in Computer Vision) and I am planning to apply some concepts to my research.

I would like to know whether it's possible to get the Wave Equation over the components of a $\mathbf{B}=(B_\phi,B_r,B_z)$ field induced by a straight infinite wire charged with current density $\mathbf{j}$. I.e $\Psi(B_\phi,B_r, B_z)$. Basically I want the quantum solution to the classical problem of finding the induced B field by a charged wire of infinite length.

Is this something heard of? If so does anyone have a reference/lead?

I'm assuming QED deals with particles that enter such electromagnetic fields and the wave function is over the postion/impulse of the particles and not the field components at a particular position. Is this correct?

Thanks!