WignerD

WignerD[{j,m1,m2},ψ,θ,ϕ]

gives the Wigner D-function .

WignerD[{j,m1,m2},θ,ϕ]

gives the Wigner D-function .

WignerD[{j,m1,m2},θ]

gives the Wigner D-function .

Details

  • The Wigner D-function gives the matrix element of a rotation operator parametrized by Euler angles in a dimensional unitary representation of a rotation group when parameters , , are physical, i.e. all integers or half-integers such that .
  • For unphysical parameters, WignerD is defined by an analytic continuation.
  • The Wolfram Language uses phase conventions where .

Examples

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Basic Examples  (1)

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Scope  (1)

Generalizations & Extensions  (1)

Applications  (1)

Properties & Relations  (4)

See Also

SphericalHarmonicY  JacobiP  LegendreP

Introduced in 2010
(8.0)