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  2. Uncertainty principle - Wikipedia

    en.wikipedia.org/wiki/Uncertainty_principle

    Uncertainty principle of Heisenberg, 1927. The uncertainty principle, also known as Heisenberg's indeterminacy principle, is a fundamental concept in quantum mechanics. It states that there is a limit to the precision with which certain pairs of physical properties, such as position and momentum, can be simultaneously known. In other words, the ...

  3. Umdeutung paper - Wikipedia

    en.wikipedia.org/wiki/Umdeutung_paper

    Mathematically, Heisenberg showed the need of non-commutative operators. This insight would later become the basis for Heisenberg's uncertainty principle. This article was followed by the paper by Max Born and Pascual Jordan of the same year, [4] and by the 'three-man paper' (German: drei Männer Arbeit) by Born, Heisenberg and Jordan in 1926.

  4. Matrix mechanics - Wikipedia

    en.wikipedia.org/wiki/Matrix_mechanics

    Heisenberg went on to say that Born and Jordan's contribution to quantum mechanics cannot be changed by "a wrong decision from the outside". [28] In 1954, Heisenberg wrote an article honoring Max Planck for his insight in 1900. In the article, Heisenberg credited Born and Jordan for the final mathematical formulation of matrix mechanics and ...

  5. Werner Heisenberg - Wikipedia

    en.wikipedia.org/wiki/Werner_Heisenberg

    In his paper on the principle, [35] Heisenberg used the word "Ungenauigkeit" (imprecision), not uncertainty, to describe it. [ 3 ] [ 36 ] [ 37 ] In 1927, Heisenberg was appointed ordentlicher Professor (professor ordinarius) of theoretical physics and head of the department of physics at the University of Leipzig ; he gave his inaugural lecture ...

  6. Quantum fluctuation - Wikipedia

    en.wikipedia.org/wiki/Quantum_fluctuation

    3D visualization of quantum fluctuations of the quantum chromodynamics (QCD) vacuum [1]. In quantum physics, a quantum fluctuation (also known as a vacuum state fluctuation or vacuum fluctuation) is the temporary random change in the amount of energy in a point in space, [2] as prescribed by Werner Heisenberg's uncertainty principle.

  7. Einstein–Podolsky–Rosen paradox - Wikipedia

    en.wikipedia.org/wiki/Einstein–Podolsky–Rosen...

    [6] According to Heisenberg's uncertainty principle, it is impossible to measure both the momentum and the position of particle B exactly; however, it is possible to measure the exact position of particle A. By calculation, therefore, with the exact position of particle A known, the exact position of particle B can be known.

  8. Wave function collapse - Wikipedia

    en.wikipedia.org/wiki/Wave_function_collapse

    The concept of wavefunction collapse was introduced by Werner Heisenberg in his 1927 paper on the uncertainty principle, "Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik", and incorporated into the mathematical formulation of quantum mechanics by John von Neumann, in his 1932 treatise Mathematische Grundlagen der ...

  9. Complementarity (physics) - Wikipedia

    en.wikipedia.org/wiki/Complementarity_(physics)

    This thought experiment implied a tradeoff between uncertainties that would later be formalized as the uncertainty principle. To Bohr, Heisenberg's paper did not make clear the distinction between a position measurement merely disturbing the momentum value that a particle carried and the more radical idea that momentum was meaningless or ...