On the cancelation of quantum-mechanical corrections at the periodic motion

Abstract

The paper contains description of the path integrals in the action-angle phase space. It allows to split the action and angle degrees of freedom and to show that the angular quantum corrections cancel each other if the classical classical trajectory is periodic. The example considered in the paper shows that the quantum problem can be quasiclassical over the part (angular in the considered case) degrees of freedom.

Comments: 10 pages, LaTex, no figures