The Wigner quasiprobability distribution (also called the Wigner function or the Wigner–Ville distribution, after Eugene Wigner and Jean-André Ville)...
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Wigner distribution or Wigner function may refer to: Wigner quasiprobability distribution (what is most commonly intended by term "Wigner function"):...
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quasiprobability distributions also have regions of negative probability density, counterintuitively, contradicting the first axiom. Quasiprobability...
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spectrum Wigner's classification Wigner quasiprobability distribution Wigner's friend Wigner's theorem Wigner crystal Wigner D-matrix Wigner effect Wigner energy...
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negative, although a quasiprobability distribution allows a negative probability, or quasiprobability for some events. These distributions may apply to unobservable...
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this article provide an overview over the Wigner–Weyl transform, the Wigner quasiprobability distribution, the phase space formulation of quantum mechanics...
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of the quasiprobability distribution can be written in closed form. The most widely used of these is for the Wigner quasiprobability distribution. The Wigner...
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to other quasiprobability distributions. In fact, it can be understood as the Weierstrass transform of the Wigner quasiprobability distribution, i.e. a...
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processing, the polynomial Wigner–Ville distribution is a quasiprobability distribution that generalizes the Wigner distribution function. It was proposed...
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derived from the Boltzmann transport equation combined with Wigner quasiprobability distribution. In quantum chemistry they arise as solutions to chemical...
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integral formulation of quantum mechanics Schrödinger picture Wigner quasiprobability distribution This rule for obtaining probabilities from a state vector...
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associated to the Wigner quasiprobability distribution by means of the Moyal product. An advantage might be that off-diagonal Wigner functions used in superpositions...
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front.) In phase space, this is evident in the pure state Wigner quasiprobability distribution of this wavetrain, whose shape in x and p is invariant as...
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_{1}}\right).\end{aligned}}} Quasiprobability distribution § Characteristic functions Nonclassical light Wigner quasiprobability distribution Husimi Q representation...
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allowed, such distributions are unstable and tend to irreversibly seek towards the minimum value of H (towards the Maxwell–Boltzmann distribution). (Note on...
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mean World Vasectomy Day World Voice Day Wigner-Ville distribution, see Wigner quasiprobability distribution This disambiguation page lists articles associated...
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demonstrated with a clear separation between the two Gaussian peaks in the Wigner function. More methods have been proposed to produce larger coherent state...
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harmonic oscillator Quasiprobability distribution Husimi Q representation Squeezed coherent state Wigner quasiprobability distribution Leonhardt, Ulf (2005)...
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Society B, 11, (1949), 150–210. Moyal bracket Wigner–Weyl transform Wigner quasiprobability distribution Gani, J. (1998). "Obituary: José Enrique Moyal"...
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phase-space formulation are that the quantum state is described by a quasiprobability distribution (instead of a wave function, state vector, or density matrix)...
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getting rid of non-possible options.[citation needed] The Wigner quasiprobability distribution can be used for a forward model W ( r , u ) = ∬ D < f ~ ∗...
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characteristics Wigner–Weyl transform Deformation theory Wigner distribution function Modified Wigner distribution function Wigner quasiprobability distribution Negative...
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Quantum mechanics Phase space formulation of quantum mechanics Wigner quasiprobability distribution Dynamical systems Ergodic theory Koopman, B. O. (1931). "Hamiltonian...
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optics, shows that the pure quantum states with positive Wigner quasiprobability distribution are the Gaussian ones. Together with PhD students, Hudson...
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theorem Wigner 3-j symbols Wigner crystal Wigner effect Wigner quasiprobability distribution Wigner–Eckart theorem Wigner–Seitz cell Wigner–Seitz radius...
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observables. These observables establish a phase space on which Wigner quasiprobability distributions can be defined. Quantum measurements on such a system can...
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Risken, H. (1989-09-01). "Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase". Physical...
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defined for the Husimi Q representation of the phase-space quasiprobability distribution. See for a comprehensive review of basic properties of classical...
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semiclassically relies on the Wigner function, a quasiprobability distribution that can be treated as a probability distribution on phase space in those cases...
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Christopher A. (2017-05-17). "Negativity Bounds for Weyl-Heisenberg Quasiprobability Representations". Foundations of Physics. 47 (8): 1009–1030. arXiv:1703...
70 KB (8,310 words) - 14:32, 11 July 2024