X-Nico

unusual facts about Wigner–Eckart theorem


Wigner–Eckart theorem

The name derives from physicists Eugene Wigner and Carl Eckart who developed the formalism as a link between the symmetry transformation groups of space (applied to the Schrödinger equations) and the laws of conservation of energy, momentum, and angular momentum.


Segal–Bargmann space

In fact, the above density coincides with the Husimi function of the particle, which is obtained from the Wigner function by smearing with a Gaussian.

Time–frequency analysis

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

Wigner–d'Espagnat inequality

The failure of certain measurements (such as the non-negative ratios in the example) to be obtained at once, together from one and the same set of trials, and thus their failure to satisfy Wigner–d'Espagnat inequalities, has been characterized as constituting disproof of Einstein's notion of local realism.

Wigner–Seitz radius

The Wigner–Seitz radius r s, named after Eugene Wigner and Frederick Seitz, is the radius of a sphere whose volume is equal to the mean volume per atom in a solid.

Wigner–Weyl transform

(The oldest illustration of this may be the realization of Eratosthenes in the ancient world that a flat earth was deformable to a spherical earth, with deformation parameter 1/R.)


see also