The Wigner quasiprobability distribution (also called the Wigner function or the Wigner–Ville distribution, after Eugene Wigner and Jean-André Ville)...

Wigner distribution or Wigner function may refer to: Wigner quasiprobability distribution (what is most commonly intended by term "Wigner function"):...

quasiprobability distributions also have regions of negative probability density, counterintuitively, contradicting the first axiom. Quasiprobability...

spectrum Wigner's classification Wigner quasiprobability distribution Wigner's friend Wigner's theorem Wigner crystal Wigner D-matrix Wigner effect Wigner energy...

negative, although a quasiprobability distribution allows a negative probability, or quasiprobability for some events. These distributions may apply to unobservable...

this article provide an overview over the Wigner–Weyl transform, the Wigner quasiprobability distribution, the phase space formulation of quantum mechanics...

of the quasiprobability distribution can be written in closed form. The most widely used of these is for the Wigner quasiprobability distribution. The Wigner...

to other quasiprobability distributions. In fact, it can be understood as the Weierstrass transform of the Wigner quasiprobability distribution, i.e. a...

derived from the Boltzmann transport equation combined with Wigner quasiprobability distribution. In quantum chemistry they arise as solutions to chemical...

processing, the polynomial Wigner–Ville distribution is a quasiprobability distribution that generalizes the Wigner distribution function. It was proposed...

integral formulation of quantum mechanics Schrödinger picture Wigner quasiprobability distribution This rule for obtaining probabilities from a state vector...

associated to the Wigner quasiprobability distribution by means of the Moyal product. An advantage might be that off-diagonal Wigner functions used in superpositions...

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...

_{1}}\right).\end{aligned}}} Quasiprobability distribution § Characteristic functions Nonclassical light Wigner quasiprobability distribution Husimi Q representation...

allowed, such distributions are unstable and tend to irreversibly seek towards the minimum value of H (towards the Maxwell–Boltzmann distribution). (Note on...

demonstrated with a clear separation between the two Gaussian peaks in the Wigner function. More methods have been proposed to produce larger coherent state...

mean World Vasectomy Day World Voice Day Wigner-Ville distribution, see Wigner quasiprobability distribution This disambiguation page lists articles associated...

Society B, 11, (1949), 150–210. Moyal bracket Wigner–Weyl transform Wigner quasiprobability distribution Gani, J. (1998). "Obituary: José Enrique Moyal"...

harmonic oscillator Quasiprobability distribution Husimi Q representation Squeezed coherent state Wigner quasiprobability distribution Leonhardt, Ulf (2005)...

phase-space formulation are that the quantum state is described by a quasiprobability distribution (instead of a wave function, state vector, or density matrix)...

getting rid of non-possible options.[citation needed] The Wigner quasiprobability distribution can be used for a forward model W ( r , u ) = ∬ D < f ~ ∗...

characteristics Wigner–Weyl transform Deformation theory Wigner distribution function Modified Wigner distribution function Wigner quasiprobability distribution Negative...

Quantum mechanics Phase space formulation of quantum mechanics Wigner quasiprobability distribution Dynamical systems Ergodic theory Koopman, B. O. (1931). "Hamiltonian...

optics, shows that the pure quantum states with positive Wigner quasiprobability distribution are the Gaussian ones. Together with PhD students, Hudson...

theorem Wigner 3-j symbols Wigner crystal Wigner effect Wigner quasiprobability distribution Wigner–Eckart theorem Wigner–Seitz cell Wigner–Seitz radius...

observables. These observables establish a phase space on which Wigner quasiprobability distributions can be defined. Quantum measurements on such a system can...

Risken, H. (1989-09-01). "Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase". Physical...

defined for the Husimi Q representation of the phase-space quasiprobability distribution. See for a comprehensive review of basic properties of classical...

semiclassically relies on the Wigner function, a quasiprobability distribution that can be treated as a probability distribution on phase space in those cases...

Christopher A. (2017-05-17). "Negativity Bounds for Weyl-Heisenberg Quasiprobability Representations". Foundations of Physics. 47 (8): 1009–1030. arXiv:1703...