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Harmonic inversion helps to beat time-energy uncertainty relations

2003/04/30 by Karkuszewski, Zbyszek P.
#FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.quant-ph/0304206

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.

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