No abstract

A non-stationary method for tunneling description of non-relativistic particles and photons through a barrier on the basis of consideration of the multiple internal reflections of vawe packets in relation of barrier boundaries is presented. The method is described in details and proved in the case of the one-dimentional tunneling of the particle through the rectangular barrier. For problems of the tunneling of the particle through the spherically symmetric barrier and of the photon through the one-dimensional barrier the amplitudes of transmitted and reflected wave packets in relation to the barrier, times of the tunneling and the reflection are found using of the method. Hartman's and Fletcher's effect is analysed.

The Poincare's period of particle oscillations between wells is obtained in a double{well potential. The dependencies of the oscillation period on transmission coe cient and on distance between levels are obtained. The cases of squared potentials and some potentials having rounded o forms are considered speci cally.