• Thumbnail for Werner Heisenberg
    Werner Karl Heisenberg (/ˈhaɪzənbɜːrɡ/; German: [ˈvɛʁnɐ kaʁl ˈhaɪzn̩bɛʁk] ; 5 December 1901 – 1 February 1976) was a German theoretical physicist, one...
    124 KB (13,586 words) - 23:50, 7 September 2024
  • In mathematics, the Heisenberg group H {\displaystyle H} , named after Werner Heisenberg, is the group of 3×3 upper triangular matrices of the form ( 1...
    32 KB (5,894 words) - 17:23, 16 April 2024
  • In physics, the Heisenberg picture or Heisenberg representation is a formulation (largely due to Werner Heisenberg in 1925) of quantum mechanics in which...
    12 KB (2,210 words) - 11:42, 23 April 2024
  • The quantum Heisenberg model, developed by Werner Heisenberg, is a statistical mechanical model used in the study of critical points and phase transitions...
    16 KB (2,729 words) - 22:19, 14 August 2024
  • Werner Heisenberg, Max Born, and Pascual Jordan formulated the matrix mechanics representation of quantum mechanics. In 1925 Werner Heisenberg was working...
    65 KB (10,593 words) - 00:33, 6 August 2024
  • Thumbnail for Niels Bohr
    with physicists including Hans Kramers, Oskar Klein, George de Hevesy, and Werner Heisenberg. He predicted the properties of a new zirconium-like element...
    104 KB (11,321 words) - 02:08, 1 September 2024
  • Affine representation Group action Central extension Particle physics and representation theory Spin-½ Spinor Symmetry in quantum mechanics Heisenberg group...
    25 KB (4,250 words) - 11:35, 23 May 2024
  • detail in the Heisenberg group section, below. Informally stated, with certain technical assumptions, every representation of the Heisenberg group H2n + 1...
    27 KB (3,687 words) - 16:58, 25 May 2024
  • Thumbnail for Louis de Broglie
    probabiliste de la mécanique ondulatoire (Heisenberg uncertainty and wave mechanics probabilistic interpretation), Gauthier-Villars, 1982. "de Broglie, Louis-Victor"...
    35 KB (3,956 words) - 21:42, 1 September 2024
  • Wave function collapse (category CS1 German-language sources (de))
    decoherence does not reduce it to a single eigenstate. Historically, Werner Heisenberg was the first to use the idea of wave function reduction to explain quantum...
    23 KB (2,732 words) - 20:30, 20 August 2024
  • though this equation seems at first look to emulate the Heisenberg equation of motion in the Heisenberg picture, with a crucial sign difference: i ℏ d ⁡ A...
    36 KB (5,245 words) - 19:07, 29 June 2024
  • distribution, owing to the particles' quantized spin. A 1925 paper by Heisenberg, known in English as "Quantum theoretical re-interpretation of kinematic...
    66 KB (8,316 words) - 23:34, 27 August 2024
  • Lax pair (redirect from Lax representation)
    \\-l_{1}&-l_{2}&-2l_{3}&-2\lambda \\\end{pmatrix}}.\end{aligned}}} In the Heisenberg picture of quantum mechanics, an observable A without explicit time t...
    10 KB (1,778 words) - 07:46, 15 June 2024
  • Werner Heisenberg, Max Born, and others. While "Copenhagen" refers to the Danish city, the use as an "interpretation" was apparently coined by Heisenberg during...
    80 KB (9,755 words) - 15:38, 2 July 2024
  • German theoretical physicist Werner Heisenberg was one of the key creators of quantum mechanics. In 1925, Heisenberg discovered a way to formulate quantum...
    72 KB (9,744 words) - 15:21, 5 July 2024
  • two-dimensional representation of s u ( 2 ) {\displaystyle {\mathfrak {su}}(2)} ). The prototypical example of a spin chain is the Heisenberg model, described...
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  • Thumbnail for Erwin Schrödinger
    Erwin Schrödinger (category CS1 Austrian German-language sources (de-at))
    of Hydrogen: Thales, Thomson, Rutherford, Bohr, Sommerfeld, Goudsmit, Heisenberg, Schrödinger, Dirac, Sallhofer. World Scientific. pp. 147–. ISBN 978-981-02-2302-1...
    62 KB (6,492 words) - 18:30, 23 August 2024
  • multiplication by zero, producing the "momentum zero" Fock representation V0 of the Heisenberg Lie algebra (generated by bn for integers n, with commutation...
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  • them will have a range of possible values. This is the content of the Heisenberg uncertainty relation. Moreover, in contrast to classical mechanics, it...
    46 KB (6,146 words) - 23:17, 4 September 2024
  • an intermediate representation between the Schrödinger picture and the Heisenberg picture. Whereas in the other two pictures either the state vector or...
    16 KB (2,285 words) - 01:30, 30 August 2024
  • uniqueness of the Heisenberg commutation relations, as formulated in the Stone–von Neumann theorem, was later interpreted within group representation theory, in...
    106 KB (21,523 words) - 00:21, 25 May 2024
  • Hidden-variable theory (category CS1 German-language sources (de))
    bounds for indeterminacy can be expressed in a quantitative form by the Heisenberg uncertainty principle. Most hidden-variable theories are attempts to avoid...
    28 KB (3,553 words) - 21:22, 8 July 2024
  • Introduction to quantum mechanics (category CS1 German-language sources (de))
    org. Heisenberg first published his work on the uncertainty principle in the leading German physics journal Zeitschrift für Physik: Heisenberg, W. (1927)...
    66 KB (7,480 words) - 22:19, 26 August 2024
  • Thumbnail for Schrödinger equation
    Schrödinger equation (category CS1 German-language sources (de))
    formulations of quantum mechanics include matrix mechanics, introduced by Werner Heisenberg, and the path integral formulation, developed chiefly by Richard Feynman...
    74 KB (10,232 words) - 09:07, 10 August 2024
  • Heisenberg's matrix mechanics. In his PhD thesis project, Paul Dirac discovered that the equation for the operators in the Heisenberg representation,...
    58 KB (8,100 words) - 00:53, 6 August 2024
  • Thumbnail for Källén–Lehmann spectral representation
    The Källén–Lehmann spectral representation, or simply Lehmann representation, gives a general expression for the (time ordered) two-point function of an...
    5 KB (878 words) - 06:56, 14 June 2024
  • Thumbnail for Quantum mechanics
    Quantum mechanics (category CS1 German-language sources (de))
    quantum mechanics in the mid-1920s by Niels Bohr, Erwin Schrödinger, Werner Heisenberg, Max Born, Paul Dirac and others. The modern theory is formulated in various...
    98 KB (12,084 words) - 11:03, 1 August 2024
  • Thumbnail for Wave function
    Wave function (category CS1 German-language sources (de))
    Louis de Broglie, Erwin Schrödinger, and others, developing "wave mechanics". Those who applied the methods of linear algebra included Werner Heisenberg, Max...
    99 KB (13,547 words) - 12:29, 18 August 2024
  • Thumbnail for Ettore Majorana
    Research Council. In Leipzig, Germany, he met Werner Heisenberg. In letters he subsequently wrote to Heisenberg, Majorana revealed that he had found in him, not...
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  • Thumbnail for Particle physics and representation theory
    simply connected. In this case, to obtain an ordinary representation, one has to pass to the Heisenberg group, which is a nontrivial one-dimensional central...
    19 KB (2,695 words) - 04:24, 12 February 2024