Evolution of a quantum package in the stationary accelerating potential

The solution of a Schr¨odinger equation in the form of the generalized Gram-Sharlier series for the any time independent accelerating potential, not time-dependent is obtained. Quantum amendments for driving time of electrons are found. The expression for a minimum duration of a quantum package when driving in this potential is obtained. It is shown that in the course of driving the duration of a package can become shorter, than the calculated one by the indeterminacy relation «energy-time».