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...

distribution Wigner's friend Wigner's theorem Wigner crystal Wigner D-matrix Wigner effect Wigner energy Wigner lattice Wigner's disease Wigner–Witmer correlation...

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)...

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

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

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...

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

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

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...

} 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...

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...

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...

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...

{\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...

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

scientists Wigner, Eisenbud, Breit, Blatt, Weisskopf, and others. Related theories are U-matrix, S-matrix, by M-matrix, or T-matrix. The term R-matrix is used...

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...

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

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

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...

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

procedure, any direct product representation is easily reduced. Wigner D-matrix Tensor operator Wigner–Eckart theorem Representation theory Racah W-coefficient...

the eigenvectors of the absolute square of the rotation matrix (the Wigner D-matrix). The associated eigenvalue is the Legendre polynomial P ℓ ( cos ⁡...

information for ρ 0 {\displaystyle \rho _{0}} . Density matrix π {\displaystyle \pi } can be, for example, I d e n t i t y / dim ⁡ H {\displaystyle {\rm {Identity}}/\dim...

description of atomic, nuclear or molecular collisions is the method of R-matrix of Wigner and Eisenbud. Another class of methods is based on separable expansion...

Liouville flow. This formula results from applying the Wigner transformation to the density matrix version of the quantum Liouville equation, the von Neumann...

identity matrix. Equivalently, given by the solution to the differential equation d d t e X t = X e X t , e X 0 = I {\displaystyle {\frac {d}{dt}}e^{Xt}=Xe^{Xt}...