Table Number of identifications assisted by method using the near
In 1948 Shannon formalized the idea of assigning probabilities to the outcome of uncertain events and introduced the P 5091 to measure the uncertainty . The concept of Shannon information entropy has crossed a lot of barriers between traditionally separated disciplines and became a universal concept of statistical physics ,  and . In 1975, Beckner, Bialynicki-Birula and Mycielski obtained an entropic uncertainty relation  as Sx+Sp≥D(1+ln?π)Sx+Sp≥D(1+ln?π), where D represents the spatial dimension. In the one-dimensional case, the position-space (SxSx) and momentum-space (SpSp) information entropies are defined, respectively, byequation(1)Sx=−∫−∞∞ ψ(x) 2ln? ψ(x) 2dx,Sp=−∫−∞∞ ?(p) 2ln? ?(p) 2dp, where ψ(x)ψ(x) is a normalized eigenfunction in spatial coordinates and ?(p)?(p) is its normalized Fourier transform. Interval of the integration with respect to the variable x depends on the concrete quantum system.