Heisenberg's uncertainty relation: Violation and reformulation

Experimental violation and reformulation of the Heisenberg's error-disturbance uncertainty relation

The uncertainty principle formulated by Heisenberg in 1927 describes a trade-off between the error of a measurement of one observable and the disturbance caused on another complementary observable such that their product should be no less than the limit set by Planck's constant. However, Ozawa in 1988 showed a model of position measurement that breaks Heisenberg's relation and in 2003 revealed ...

The Relation Between Inflation and Inflation Uncertainty In Iran

Uncertainty relation for photons.

The uncertainty relation for the photons in three dimensions that overcomes the difficulties caused by the nonexistence of the photon position operator is derived in quantum electrodynamics. The photon energy density plays the role of the probability density in configuration space. It is shown that the measure of the spatial extension based on the energy distribution in space leads to an inequa...

Relation of uncertainty for time

We introduce two time: deterministic Newton time-stream t and stochastic timeepoch τ . The relation of uncertainty for time-epoch of physical events ∆τ∆D ≥ c1, (∗) where c1 = const, is proved. The function D(t) = −c1 d dt ln fτ (t), characterizes velocity of disorganization of the event-phenomena; fτ (t) is density of probability of time-epoch τ . The relation (*) is verified not by means of ex...

Reformulating the Quantum Uncertainty Relation

Uncertainty principle is one of the cornerstones of quantum theory. In the literature, there are two types of uncertainty relations, the operator form concerning the variances of physical observables and the entropy form related to entropic quantities. Both these forms are inequalities involving pairwise observables, and are found to be nontrivial to incorporate multiple observables. In this wo...