We are told that in superconductors, there is no internal resistance. So if a current is induced in a superconducting material (like an Eddie Current), it should theoretically flow forever (or until the material heats up). However, in atoms, we know the electron could not be rotating around the protons because the constant acceleration inwards produces light which radiates away energy. I was wondering why superconductors don't also radiate away their energy as light as the electrons loop around the circuit.
If the electron's wavefunction is localized, then even though the charge distribution appears smooth macroscopically, the microscopic changes should still add up and radiate light. If it's similar to atoms and the electrons don't radiate light because the wavefunction is distributed around the circuit in discrete states, then does that mean currents in superconductors can only exist in loops whose lengths are an integer multiple of the electron's wavelength (so not all radii of Eddie currents are possible)?