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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. Zero-point energy - Wikipedia

    en.wikipedia.org/wiki/Zero-point_energy

    Zero-point energy is fundamentally related to the Heisenberg uncertainty principle. [91] Roughly speaking, the uncertainty principle states that complementary variables (such as a particle's position and momentum, or a field's value and derivative at a point in space) cannot simultaneously be specified precisely by any given quantum state. In ...

  4. Heisenberg's microscope - Wikipedia

    en.wikipedia.org/wiki/Heisenberg's_microscope

    Heisenberg's microscope is a thought experiment proposed by Werner Heisenberg that has served as the nucleus of some commonly held ideas about quantum mechanics. In particular, it provides an argument for the uncertainty principle on the basis of the principles of classical optics .

  5. Werner Heisenberg - Wikipedia

    en.wikipedia.org/wiki/Werner_Heisenberg

    He is known for the uncertainty principle, which he published in 1927. Heisenberg was awarded the 1932 Nobel Prize in Physics "for the creation of quantum mechanics". [4] [a] Heisenberg also made contributions to the theories of the hydrodynamics of turbulent flows, the atomic nucleus, ferromagnetism, cosmic rays, and subatomic particles.

  6. Measurement in quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/Measurement_in_quantum...

    The uncertainty principle dates to this period. It is frequently attributed to Heisenberg, who introduced the concept in analyzing a thought experiment where one attempts to measure an electron's position and momentum simultaneously. However, Heisenberg did not give precise mathematical definitions of what the "uncertainty" in these ...

  7. Stronger uncertainty relations - Wikipedia

    en.wikipedia.org/wiki/Stronger_Uncertainty_Relations

    However, the stronger uncertainty relations due to Maccone and Pati provide different uncertainty relations, based on the sum of variances that are guaranteed to be nontrivial whenever the observables are incompatible on the state of the quantum system. [4] (Earlier works on uncertainty relations formulated as the sum of variances include, e.g.,

  8. Observer (quantum physics) - Wikipedia

    en.wikipedia.org/wiki/Observer_(quantum_physics)

    The uncertainty principle has been frequently confused with the observer effect, evidently even by its originator, Werner Heisenberg. [17] The uncertainty principle in its standard form describes how precisely it is possible to measure the position and momentum of a particle at the same time. If the precision in measuring one quantity is ...

  9. 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.