The <square-root branch points> are \b[zero and infinity]. At zero the local behavior is $z^{-1/2}$; in the coordinate $u=1/z$ near infinity it is $u^{1/2}$. In either case one circuit reverses the sign and two restore it. Thus the <ramification index> is $2$: these are two-sheeted algebraic <branch points>, sometimes described as branch order one when order means ramification index minus one. The decay to zero at infinity does not remove the branching.

Solution

Past exam of the short options paper shared by Prelims and Parts A and B of the physics course of the University of Oxford / 2012 / S1 / 3 / a / Solution

 Solution (source code)