Showing papers by "Iwo Bialynicki-Birula published in 1985"
01 Jan 1985
TL;DR: In this article, a novel uncertainty relation for the angular distribution and angular momentum in the three-dimensional space is introduced, which is based on the information entropy of the physical variables.
Abstract: New uncertainty relations based on the information entropy are reviewed and contrasted with the traditional uncertainty relations, which were based on the dispersions of the the physical variables. Improved lower bounds are given for the position-momentum and the angle-angular momentum pairs. Novel uncertainty relation for the angular distribution and angular momentum in the three-dimensional space is introduced.
50 citations
TL;DR: In this article, a new entropic uncertainty relation for simultaneous measurements of two angles ϕ and θ and two corresponding angular momentum operators L z and L 2 is derived.
28 citations
TL;DR: In this paper, nonlinear field equations describing nonrelativistic particles interacting via harmonic forces are exactly solved and collective variables of the system are identified and their evolution is found, and the full quantum solution of the initial value problem is exhibited and compared with the classical solution.
Abstract: Nonlinear field equations describing nonrelativistic particles interacting via harmonic forces are exactly solved. Collective variables of the system are identified and their evolution is found. Full quantum solution of the initial value problem is exhibited and compared with the classical solution of the same problem.
13 citations