The Wigner quasiprobability distribution (also called the Wigner function or the Wigner–Ville distribution, after Eugene Wigner and Jean-André Ville)...
38 KB (5,290 words) - 22:26, 28 May 2025
A quasiprobability distribution is a mathematical object similar to a probability distribution but which relaxes some of Kolmogorov's axioms of probability...
22 KB (3,379 words) - 16:47, 25 June 2025
Wigner distribution or Wigner function may refer to: Wigner quasiprobability distribution (what is most commonly intended by term "Wigner function"): a...
728 bytes (117 words) - 01:26, 24 August 2015
Husimi in 1940, is a quasiprobability distribution commonly used in quantum mechanics to represent the phase space distribution of a quantum state such...
6 KB (714 words) - 14:43, 6 June 2024
probability distribution Histogram Joint probability distribution Probability measure Quasiprobability distribution Riemann–Stieltjes integral application to probability...
48 KB (6,688 words) - 17:43, 6 May 2025
negative, although a quasiprobability distribution allows a negative probability, or quasiprobability for some events. These distributions may apply to unobservable...
14 KB (1,744 words) - 06:24, 14 April 2025
phase-space formulation are that the quantum state is described by a quasiprobability distribution (instead of a wave function, state vector, or density matrix)...
27 KB (3,604 words) - 04:25, 25 May 2025
processing, the polynomial Wigner–Ville distribution is a quasiprobability distribution that generalizes the Wigner distribution function. It was proposed by Boualem...
6 KB (1,606 words) - 04:16, 25 October 2024
of the quasiprobability distribution can be written in closed form. The most widely used of these is for the Wigner quasiprobability distribution. The Wigner...
44 KB (6,952 words) - 15:54, 11 April 2025
Wigner distribution function Wigner distribution function Wigner semicircle distribution Wigner rotation Wigner quasiprobability distribution 6-j symbol...
50 KB (5,211 words) - 11:18, 30 June 2025
one just needs an algebra of sets, rather than a σ-algebra. Quasiprobability distributions in general relax the third axiom. From the Kolmogorov axioms...
11 KB (1,619 words) - 04:30, 19 April 2025
from the Boltzmann transport equation combined with Wigner quasiprobability distribution. In quantum chemistry they arise as solutions to chemical kinetic...
2 KB (253 words) - 11:49, 10 January 2025
formulation of quantum mechanics Schrödinger picture Wigner quasiprobability distribution This rule for obtaining probabilities from a state vector implies...
75 KB (10,263 words) - 16:18, 24 June 2025
space distribution of a quantum system in the phase space formulation of quantum mechanics. The P representation is the quasiprobability distribution in...
14 KB (2,600 words) - 09:52, 16 September 2024
associated function in the phase space formulation with respect to a quasiprobability distribution. The theorem was first reported by George Sudarshan in 1963...
4 KB (621 words) - 19:16, 14 December 2023
possible. 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 time...
39 KB (5,960 words) - 21:07, 29 May 2025
semiclassically relies on the Wigner function, a quasiprobability distribution that can be treated as a probability distribution on phase space in those cases where...
67 KB (8,343 words) - 04:30, 30 June 2025
World Vasectomy Day World Voice Day Wigner-Ville distribution, see Wigner quasiprobability distribution This disambiguation page lists articles associated...
156 bytes (47 words) - 13:47, 15 August 2021
defined for the Husimi Q representation of the phase-space quasiprobability distribution. See for a comprehensive review of basic properties of classical...
14 KB (2,358 words) - 20:18, 16 April 2025
Conditional probability distribution Joint probability distribution Quasiprobability distribution Empirical probability distribution Histogram Riemann–Stieltjes...
6 KB (600 words) - 13:43, 26 May 2025
harmonic oscillator Quasiprobability distribution Husimi Q representation Squeezed coherent state Wigner quasiprobability distribution Leonhardt, Ulf (2005)...
15 KB (2,494 words) - 13:26, 6 May 2024
{\displaystyle \psi (x,p,t)} , as a quasiamplitude, associated to a quasiprobability distribution. The first wave-function approach of quantum mechanics in phase...
13 KB (2,161 words) - 05:51, 24 June 2025
Quantile-parameterized distribution, probability distributions that are directly parameterized by data Quasiprobability distribution, a mathematical object...
326 bytes (65 words) - 13:29, 15 May 2023
mechanics Phase space formulation of quantum mechanics Wigner quasiprobability distribution Dynamical systems Ergodic theory PhD thesis, Università degli...
36 KB (4,651 words) - 07:25, 2 June 2025
provide an overview over the Wigner–Weyl transform, the Wigner quasiprobability distribution, the phase space formulation of quantum mechanics and the example...
15 KB (2,271 words) - 11:17, 26 February 2025
Risken, H. (1989-09-01). "Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase". Physical...
37 KB (5,517 words) - 00:59, 25 May 2025
Wigner quasiprobability distribution of an odd cat state of α = 2.5...
39 KB (4,717 words) - 12:08, 12 June 2025
allowed, such distributions are unstable and tend to irreversibly seek towards the minimum value of H (towards the Maxwell–Boltzmann distribution). (Note on...
32 KB (4,255 words) - 01:39, 17 February 2025
These observables establish a phase space on which Wigner quasiprobability distributions can be defined. Quantum measurements on such a system can be...
20 KB (2,427 words) - 10:41, 12 June 2025
either positive or negative which is why this is coined as quasiprobability distribution. The Φ i {\displaystyle \Phi _{i}} 's are quantum channels which...
12 KB (1,584 words) - 04:25, 24 June 2025