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The 18 pages that link to Reduced Planck constant, each with the reason it gives.

• Planck constantBroader topic: Many quantum equations use ℏ instead of h because angular frequency is measured in radians per second.

• SpinRelated: Spin magnitudes and projections are quantized in units involving ℏ.

• Gravitational constantCompared with: It is another universal constant, but sets quantum scales rather than gravitational force strength.

• Orbital angular momentumRelated: It sets the scale of the quantized orbital angular momentum eigenvalues.

• Natural unitsRelated: Many particle-physics conventions set ħ=1 rather than h=1.

• Spin quantum numberRelated: Spin magnitudes and projections are expressed in multiples of ℏ.

• Planck scaleRelated: It contributes with gravity and light speed to the characteristic Planck units.

• Planck unitsRelated: Combining quantum action with gravity and c produces Planck-scale quantities.

• Compton wavelengthRelated: Using it gives the reduced Compton wavelength rather than the full wavelength.

• Electron magnetic momentRelated: It sets the angular-momentum scale entering the spin magnetic moment.

• Bohr magnetonRelated: It contributes the quantum-angular-momentum scale in the definition.

• Planck lengthRelated: It supplies the quantum scale in the Planck length’s defining expression.

• Momentum operatorRelated: It sets the scale in the momentum operator and its commutator with position.

• Planck relationCompared with: The distinction between h and ℏ prevents a factor-of-2π error.

• Atomic unitsRelated: Its value is one, simplifying quantum equations in atomic units.

• Quantum potentialRelated: The potential is proportional to ℏ squared, linking its strength to quantum scale.

• De Broglie equationRelated: Quantum wave equations often use ℏ and wave number instead of h and wavelength.

• Joule-secondRelated: It is a widely used quantum scale expressed in joule-seconds.