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  2. Heisenberg picture - Wikipedia

    en.wikipedia.org/wiki/Heisenberg_picture

    Pedagogic Aides to Quantum Field Theory Click on the link for Chap. 2 to find an extensive, simplified introduction to the Heisenberg picture. Some expanded derivations and an example of the harmonic oscillator in the Heisenberg picture [1]

  3. Uncertainty principle - Wikipedia

    en.wikipedia.org/wiki/Uncertainty_principle

    Some formulations of quantum field theory uses temporary electron–positron pairs in its calculations called virtual particles. The mass-energy and lifetime of these particles are related by the energy–time uncertainty relation. The energy of a quantum systems is not known with enough precision to limit their behavior to a single, simple ...

  4. Quantum field theory - Wikipedia

    en.wikipedia.org/wiki/Quantum_field_theory

    In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines field theory and the principle of relativity with ideas behind quantum mechanics. [ 1 ] : xi QFT is used in particle physics to construct physical models of subatomic particles and in condensed matter physics to construct models of quasiparticles .

  5. Quantum Heisenberg model - Wikipedia

    en.wikipedia.org/wiki/Quantum_Heisenberg_model

    The quantum Heisenberg model, developed by Werner Heisenberg, is a statistical mechanical model used in the study of critical points and phase transitions of magnetic systems, in which the spins of the magnetic systems are treated quantum mechanically.

  6. Matrix mechanics - Wikipedia

    en.wikipedia.org/wiki/Matrix_mechanics

    Heisenberg then departed for a while, leaving Born to analyse the paper. [6] In the paper, Heisenberg formulated quantum theory without sharp electron orbits. Hendrik Kramers had earlier calculated the relative intensities of spectral lines in the Sommerfeld model by interpreting the Fourier coefficients of the orbits as intensities.

  7. Werner Heisenberg - Wikipedia

    en.wikipedia.org/wiki/Werner_Heisenberg

    Werner Karl Heisenberg (/ ˈ h aɪ z ən b ɜːr ɡ /; [2] German: [ˈvɛʁnɐ ˈhaɪzn̩bɛʁk] ⓘ; 5 December 1901 – 1 February 1976) [3] was a German theoretical physicist, one of the main pioneers of the theory of quantum mechanics and a principal scientist in the Nazi nuclear weapons program during World War II.

  8. 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.

  9. History of quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/History_of_quantum_mechanics

    Quantum electrodynamics describes a quantum theory of electrons, positrons, and the electromagnetic field, and served as a model for subsequent quantum field theories. [41] [42] [64] Feynman diagram of gluon radiation in quantum chromodynamics. The theory of quantum chromodynamics was formulated beginning in the

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