Соотношение неопределенностей и соотношение погрешностей в оптических измерениях

Abstract

On the basis of the information inequality the relation between the limiting measuring errors of the time and frequency parameters of optical impulses is analyzed. The received error relation is compared to the quantum physics uncertainty relation. For the Gauss impulses the product of root-mean-square limiting measurement errors of the time and frequency parameters reduced to one photon is shown to correspond to the minimum value in the quantum uncertainty relation time-energy (coordinate-momentum). At the same time, the error relation has the opposite sign of the inequality relative to the uncertainty relation. Product of errors decreases, if the form of the impulse differs from the Gauss form, for which informational entropy riches the maximum.