Complementarity principle. Heisenberg

The difficulty will not go away. Wave-particle duality denies the possibility of specifying the location if the linear momentum is known, and so we cannot specify the trajectory of particles. If we know that a particle is here at one instant, we can say nothing about where it will be an instant later The impossibility of knowing the precise position if the linear momentum is known precisely is an aspect of the complementarity of location and momentum—if one property is known the other cannot be known simultaneously. The Heisenberg uncertainty principle, which was formulated by the German scientist Werner Heisenberg in 1927, expresses this complementarity quantitatively. It states that, if the location of a particle is known to within an uncertainty Ax, then the linear momentum, p, parallel to the x-axis can be known simultaneously only to within an uncertainty Ap, where... 

Proc.RSL A113 (1927) 621641 Pascual Jordan, "Ueber eine neue Begriindung der Quantenmechanik," ZP 40 (1927) 809838 Werner Heisenberg, "Ueber den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik," ZP 43 (1927) 172198. Bohr first discussed the principle of complementarity at a conference in Como in 1927 see Niels Bohr, "The Quantum Postulate and the Recent Development of Atomic Theory," Nature 121 (1928) 580590. 

The paper by Max Born on Quantummechanik des Stossvorgange, in which he had proposed the statistical interpretation of the wave function, had appeared in 1926.32 Niels Bohr had presented his principle of complementarity at the Como Conference in September 192733 and Heisenberg had formulated the uncertainty principle shortly before the Solvay Conference.34... 

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