Last Updated：2025/11/29
A theorem of representation theory and quantum mechanics, stating that matrix elements of spherical tensor operators on the basis of angular momentum eigenstates can be expressed as the product of two factors, one of which is independent of angular momentum orientation, and the other a Clebsch-Gordan coefficient.
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Wigner-Eckart theorem
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Source Word
Wigner-Eckart theorem
Proper noun
A
theorem
of
representation
theory
and
quantum
mechanics,
stating
that
matrix
elements
of
spherical
tensor
operators
on
the
basis
of
angular
momentum
eigenstates
can
be
expressed
as
the
product
of
two
factors,
one
of
which
is
independent
of
angular
momentum
orientation,
and
the
other
a
Clebsch-Gordan
coefficient.
Japanese Meaning
角運動量固有状態を基底とする球面テンソル作用素の行列表現が、角運動量の向きに依存しない部分と Clebsch-Gordan 係数に対応する部分の積で表されることを示す、表現論および量子力学の定理
Sense（1）
A
theorem
of
representation
theory
and
quantum
mechanics,
stating
that
matrix
elements
of
spherical
tensor
operators
on
the
basis
of
angular
momentum
eigenstates
can
be
expressed
as
the
product
of
two
factors,
one
of
which
is
independent
of
angular
momentum
orientation,
and
the
other
a
Clebsch-Gordan
coefficient.
