Does anyone know the answers to this, or can hopefully guide me to a text that will help me solve this aharonov-bohm problem?
Here is the given:
Particles (of mass m, and charge q), are driven through two slits that have distance d between them, in a screen that is far away (L>>d) from the obstacle. Behind the obstacle is a solenoid, tha constant current is flowing through it (I).
a) Calculate the vector potential in the space outside the solenoid. b) Assume that without current, the solution to the Schroedinger equation is of this form:
Confirm that this:
will constitute a solution to the equation, in the presence of the EM field
where Ψο, corresponds to the solution without current.
c) Prove that the interference pattern of the particles in the screen, will move, with the presence of current.