Two electron paths pass on either side of a long thin solenoid
PHYSICS · Multi-part · Fermi University Physics · Quantum Mechanics · Quantum dynamics and its formulations · Quantum dynamics and its formulations
The Structure of Quantum Mechanics, Ch The path integral
Problem
Two electron paths pass on either side of a long thin solenoid, on which the magnetic field is confined entirely inside the coil, so neither path experiences any field. The magnetic flux enclosed between the two paths is Φ=1.5×10−15Wb. The electron charge magnitude is e=1.602×10−19C.
((a)) Find the relative phase ∣q∣Φ/ℏ the vector potential adds between the two paths.
((b)) Express this as a fraction of the flux quantum Φ0=h/e, and state whether the interference pattern is shifted by less than, exactly, or more than half a fringe.