Vortex Structures inside Spherical Mesoscopic Superconductor Plus Magnetic Dipole

Figure 5

Examples of the application of the boundary conditions at , for the dipole equation analytic solution. The positive part of the spectrum , for , and . In the main window we present the whole wave function, and in the smaller window we zoom in to the zero derivative point at . The number of eigenstates (oscillations) increases with , and decreases with , because for smaller dipole strength the solution is closer to the Bessel solutions. The eigenvalues of energy are ; ; , and . Higher energy states have more oscillations.