The Wigner D-matrix is a unitary matrix in an irreducible representation of the groups SU(2) and SO(3). It was introduced in 1927 by Eugene Wigner, and...

Wigner D-matrix, an irreducible representation of the rotation group SO(3) This disambiguation page lists articles associated with the title Wigner distribution...

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

The expression (1) allows the expression of the Wigner d-matrix d m ′ , m j ( ϕ ) {\displaystyle d_{m',m}^{j}(\phi )} (for 0 ≤ ϕ ≤ 4 π {\displaystyle...

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

his free central limit theorem had appeared before in Wigner's semi-circle law in the random matrix context. In the field of computational neuroscience...

quasi-probability distribution Wigner's friend Wigner's theorem Wigner crystal Wigner D-matrix Wigner effect Wigner energy Wigner lattice Wigner poisoning, Xe-135...

number Azimuthal quantum number Table of Clebsch–Gordan coefficients Wigner D-matrix Wigner–Eckart theorem Angular momentum diagrams (quantum mechanics) Clebsch–Gordan...

The Wigner–Eckart theorem is a theorem of representation theory and quantum mechanics. It states that matrix elements of spherical tensor operators in...

In relativistic quantum mechanics and quantum field theory, the Bargmann–Wigner equations describe free particles with non-zero mass and arbitrary spin...

density matrix operator may also be realized in phase space. Under the Wigner map, the density matrix transforms into the equivalent Wigner function...

the random matrix approach infinity. The distribution of the spacing or gaps between eigenvalues is addressed by the similarly named Wigner surmise. Because...

and physics: Wigner D-matrix, represent spins and rotations of quantum states and tensor operators. Higher spin alternating sign matrix Spin group Spin...

where D m m ′ ( ℓ ) ( R ) ∗ {\displaystyle D_{mm'}^{(\ell )}({\mathcal {R}})^{*}} is the complex conjugate of an element of the Wigner D-matrix. In particular...

} is Wigner's small d-matrix. Note that for γ = 2π and α = β = 0; i.e., a full rotation about the z axis, the Wigner D-matrix elements become D m ′ m...

Wigner's friend is a thought experiment in theoretical quantum physics, first published by the Hungarian-American physicist Eugene Wigner in 1961, and...

degenerate energy for K=0. Here DJMK is an element of the Wigner D-matrix. The first-order perturbation matrix on basis of the unperturbed rigid rotor function...

In quantum mechanics, the Wigner–Weyl transform or Weyl–Wigner transform (after Hermann Weyl and Eugene Wigner) is the invertible mapping between functions...

three years later Fierz and Pauli rederived the same equation. The Bargmann–Wigner equations were found in 1948 using Lorentz group theory, applicable for...

In mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function. It is used to solve systems...

studying resonances in nuclear scattering by Wigner and Eisenbud. Using that work as a basis, an R-matrix method was developed for electron, positron and...

{\hat {\mathcal {P}}}_{i}} on the Wigner D-matrix is simple. In particular P 2 D m ′ m j ( α , β , γ ) ∗ = ℏ 2 j ( j + 1 ) D m ′ m j ( α , β , γ ) ∗ with P...

follows, when the states transform under the unitary Wigner D-matrix D ( R ) {\displaystyle {\mathcal {D}}(R)} , where R is a (3×3 rotation) group element...

tautologically equal to 1. d d J ∫ 0 T P d X = 1 = ∫ 0 T d t ( d P d J d X d t + P d d J d X d t ) = ∫ 0 T d t ( d P d J d X d t − d P d t d X d J ) {\displaystyle...

characteristic values of a symmetric matrix with random coefficients. — Eugene Wigner, Results and theory of resonance absorption Wigner semicircle distribution Mehta...

a Lie group List of Lie group topics Symmetry in quantum mechanics Wigner D-matrix Hall 2015 Corollary 3.51 Hall 2015 Theorem 4.28 Hall 2015 Section 10...

Thomas–Wigner rotation or Wigner rotation. If a sequence of non-collinear boosts returns an object to its initial velocity, then the sequence of Wigner rotations...

function (Wigner distribution function, or WDF), Modified Wigner distribution function, Gabor–Wigner distribution function, and so on (see Gabor–Wigner transform)...

m\rangle } Introducing the Wigner D matrix elements: D ( R ) m ′ m ( j ) = ⟨ j , m ′ | U ( R ) | j , m ⟩ {\displaystyle {D(R)}_{m'm}^{(j)}=\langle j,m'|U(R)|j...

In physics, the S-matrix or scattering matrix is a matrix which relates the initial state and the final state of a physical system undergoing a scattering...