The exact solution of the non-stationary problem of the tunneling of electrons out of the onedimensional potential well by the steady electric field when it is suddenly switched on is obtained. The formula for the tunnel current density is found. The results obtained are compared with those of stationary tunneling theory that corresponds to the adiabatic switching on of the electric field. It is noted that the especially strong dependence of the tunnel current on the way the electric field is switched on arises in the case of the well a few bound states. This dependence should be taken into account while analysing experimental data on tunneling ( atom ionisation, for example ) in an electric field.
The phenomenon of local dynamical inhomogeneity of time is predicted, which implies that the course of time along the trajectory of particle motion in the inertial reference frames moving relatively to each other depends on the state of motion of the particle under the force field influence. The inferences of the paper are not based on the use of any hypotheses and strictly follow from relativistic equations of motion and relativity principle. As is seen from the results obtained, the ability to influence the course of time represents one of the most fundamental properties of any material system intrinsically inherent in it by the very nature of things, which manifests itself when the system interacts with force fields. The dependence of the course of time upon the behaviour of physical system is a direct consequence of the pseudoeuclidity of space-time. It is demonstrated with point particle that the change in the course of time results in the appearance of an additional force acting on the particle. The practical significance of investigation on the dynamical properties of time is emphasized.
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