  The superscars phenomena (Heller, E.J., Phys. Rev. Lett. 53, (1984) 1515) in
the rational polygon billiards (RPB) are analysed using the high energy
semiclassical wave functions (SWF) built on classical trajectories forming
skeletons. Considering examples of the pseudointegrable billiards such as the
Bogomolny-Schmit triangle, the parallelogram and the L-shape billiards as well
as the integrable rectangular one the constructed SWFs allow us to verify the
idea of Bogomolny and Schmit (Phys. Rev. Lett. 92 (2004) 244102) of SWFs
(superscars) propagating along periodic orbit channels (POC) and vanishing
outside of them. It is shown that the superscars effects in RPB appear as
natural properties of SWFs built on the periodic skeletons. The latter
skeletons are commonly present in RPB and are always composed of POCs. The SWFs
built on the periodic skeletons satisfy all the basic principles of the quantum
mechanics contrary to the superscar states of Bogomolny and Schmit which break
them. Therefore the superscars effects need not to invoke the idea of the
superscar states of Bogomolny and Schmit at least in the cases considered in
our paper.
