distances $a=2.5\xi$, $a=1.7\xi$, and $a=1.6\xi$. One can see that contrary to the case of the vortex-vortex pair the decrease in the intervortex distance in this system leads to a rapid shrinking of the isoenergetic orbits. When the distance $a$ is small enough all the trajectories corresponding to the zero energy are characterized by the $\mu$ and $\theta_p$ values close to $\mu=0$ and $\theta_p=\pi (n+1/2)$, where $n$ is integer. For the intervortex distance $a/\xi=1.5$ the quasiclassical orbits completely shrink to these points in $\mu-\theta_p$ plane. In the real space the corresponding trajectories pass through the point in the middle between the vortex and antivortex and are perpendicular to the line connecting the phase singularity points. Thus, the two peaks of LDOS should shift from the vortex centers to the middle point and merge into one peak as the vortex and antivortex approach each other.

For a detailed study of these effects we calculate the LDOS profiles for two–vortex and vortex–antivortex configurations by solving numerically the Eilengerger equations (\[eq:eilenberger\]) and applying the expression for the LDOS (\[eq:LDOS\]). The results are shown in Fig. \[LDOSvv\] for the vortex–vortex pair with $a=1.5\xi$ (upper panel) and $a=\xi$ (lower panel) and in Fig. \[LDOSvav\] for a 