Harmonic inversion helps to beat time-energy uncertainty relations

Abstract

It is impossible to obtain accurate frequencies from time signals of a very short duration. This is a common believe among contemporary physicists. Here I present a practical way of extracting energies to a high precision from very short time signals produced by a quantum system. The product of time span of the signal and the precision of found energies is well bellow the limit imposed by the time-energy uncertainty relation.

5 pages, 1 figure