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...

In physics, the Heisenberg picture or Heisenberg representation is a formulation (largely due to Werner Heisenberg in 1925) of quantum mechanics in which...

Werner Karl Heisenberg (/ˈhaɪzənbɜːrɡ/; German: [ˈvɛʁnɐ kaʁl ˈhaɪzn̩bɛʁk] ; 5 December 1901 – 1 February 1976) was a German theoretical physicist, one...

The quantum Heisenberg model, developed by Werner Heisenberg, is a statistical mechanical model used in the study of critical points and phase transitions...

with physicists including Hans Kramers, Oskar Klein, George de Hevesy, and Werner Heisenberg. He predicted the properties of a new zirconium-like element...

Werner Heisenberg, Max Born, and Pascual Jordan formulated the matrix mechanics representation of quantum mechanics. In 1925 Werner Heisenberg was working...

detail in the Heisenberg group section, below. Informally stated, with certain technical assumptions, every representation of the Heisenberg group H2n + 1...

Affine representation Group action Central extension Particle physics and representation theory Spin-½ Spinor Symmetry in quantum mechanics Heisenberg group...

probabiliste de la mécanique ondulatoire (Heisenberg uncertainty and wave mechanics probabilistic interpretation), Gauthier-Villars, 1982. "de Broglie, Louis-Victor"...

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...

them will have a range of possible values. This is the content of the Heisenberg uncertainty relation. Moreover, in contrast to classical mechanics, it...

an intermediate representation between the Schrödinger picture and the Heisenberg picture. Whereas in the other two pictures either the state vector or...

two-dimensional representation of s u ( 2 ) {\displaystyle {\mathfrak {su}}(2)} ). The prototypical example of a spin chain is the Heisenberg model, described...

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...

\\-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...

distribution, owing to the particles' quantized spin. A 1925 paper by Heisenberg, known in English as "Quantum theoretical re-interpretation of kinematic...

Heisenberg's matrix mechanics. In his PhD thesis project, Paul Dirac discovered that the equation for the operators in the Heisenberg representation,...

Werner Heisenberg, Max Born, and others. While "Copenhagen" refers to the Danish city, the use as an "interpretation" was apparently coined by Heisenberg during...

multiplication by zero, producing the "momentum zero" Fock representation V0 of the Heisenberg Lie algebra (generated by bn for integers n, with commutation...

bounds for indeterminacy can be expressed in a quantitative form by the Heisenberg uncertainty principle. Most hidden-variable theories are attempts to avoid...

org. Heisenberg first published his work on the uncertainty principle in the leading German physics journal Zeitschrift für Physik: Heisenberg, W. (1927)...

Louis de Broglie, Erwin Schrödinger, and others, developing "wave mechanics". Those who applied the methods of linear algebra included Werner Heisenberg, Max...

uniqueness of the Heisenberg commutation relations, as formulated in the Stone–von Neumann theorem, was later interpreted within group representation theory, in...

of Hydrogen: Thales, Thomson, Rutherford, Bohr, Sommerfeld, Goudsmit, Heisenberg, Schrödinger, Dirac, Sallhofer. World Scientific. pp. 147–. ISBN 978-981-02-2302-1...

several early pioneers of quantum mechanics, such as Niels Bohr and Werner Heisenberg, are often grouped together as the "Copenhagen interpretation", though...

The Källén–Lehmann spectral representation, or simply Lehmann representation, gives a general expression for the (time ordered) two-point function of an...

formulations of quantum mechanics include matrix mechanics, introduced by Werner Heisenberg, and the path integral formulation, developed chiefly by Richard Feynman...

German theoretical physicist Werner Heisenberg was one of the key creators of quantum mechanics. In 1925, Heisenberg discovered a way to formulate quantum...

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...

perturbation, it is convenient to now use instead the interaction picture representation, | n ^ ( t ) ⟩ , {\displaystyle \left|{\hat {n}}(t)\right\rangle ,}...