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The 20 pages that link to Angular momentum operator, each with the reason it gives.

• Selection ruleRelated: Its tensor properties impose restrictions on changes in angular momentum.

• Quantum numberRelated: Its eigenvalues supply angular-momentum quantum numbers.

• Spherical harmonicsRelated: Its squared form has spherical harmonics as eigenfunctions.

• Lie algebraRelated: Quantum angular-momentum operators realize the Lie algebra of rotations.

• Orbital angular momentumNarrower topic: Orbital angular momentum is one realization of this operator, built from position and momentum.

• Stern–Gerlach experimentNarrower topic: The experiment tested whether one component of atomic angular momentum takes discrete values.

• Electronic transitionRelated: Angular-momentum changes help determine whether an optical transition is allowed.

• Irreducible representationRelated: Quantum angular-momentum states are organized by irreducible representations of rotation-related groups.

• Time-reversal symmetryRelated: Its direction reverses along with motion under time reversal.

• Magnetic quantum numberRelated: The magnetic quantum number indexes eigenvalues of one chosen component.

• Momentum operatorCompared with: It generates rotations, while the momentum operator generates spatial translations.

• Wigner–Eckart theoremRelated: Its eigenstates and algebra underpin the theorem’s matrix elements.

• John Hasbrouck Van VleckRelated: Atomic angular momentum determines the magnetic moments central to his theories.

• Kramers' theoremNarrower topic: Its half-integer values determine the time-reversal behavior behind the theorem.

• Magnetic resonanceRelated: Spin angular momentum underlies the magnetic behavior of many nuclei.

• Peter–Weyl theoremRelated: Representations of rotation groups organize angular-momentum states and their functions.

• Symmetry in quantum mechanicsRelated: Rotational symmetry produces angular momentum as its conserved generator.

• Bra–ket notationRelated: Its eigenstates and matrix elements are conventionally written in bra–ket form.

• Mathematical formulation of quantum mechanicsBroader topic: It demonstrates how symmetries and noncommuting observables appear in the formalism.

• Multipole matrix elementsRelated: Angular-momentum quantum numbers constrain which multipole transitions are allowed.