Hère is a short account of papers published earlier in Russian. We formulate a généralisation of well-known quantization rules by Bohr-Sommerfeld-Einstein-Keller-Maslov by adding terms which describe the tunneling of energy. This enables us to obtain im agi nar y radiational corrections to eigenvalues in the case of open Systems as well as an exponentially small splittings of eigenvalues in Sys...