Last Updated：2025/11/29
Sentence
ウィグナー＝エッカートの定理は、表現論と量子力学の定理であり、角運動量固有状態の基底における球面テンソル演算子の行列要素が、方向に依存しない縮約行列要素とクレブシュ＝ゴルダン係数の積として表せることを示し、角運動量の行列要素の計算を大幅に簡素化します。
Quizzes for review
The Wigner-Eckart theorem greatly simplifies the calculation of angular-momentum matrix elements by separating orientation-dependent Clebsch–Gordan coefficients from reduced matrix elements.
See correct answer
The Wigner-Eckart theorem greatly simplifies the calculation of angular-momentum matrix elements by separating orientation-dependent Clebsch–Gordan coefficients from reduced matrix elements.
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Related words
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
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