3j Symbols

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

The 3 symbols give amplitudes for pairs of quantum spins to be in different quantum states. Change the magnitudes of the quantum spins and see the distributions of amplitudes for different states. For large spins the distributions become smooth and have semiclassical features.

Contributed by: Stephen Wolfram (March 2011)
Open content licensed under CC BY-NC-SA



When , , do not satisfy the triangle inequality, the spins with magnitudes and cannot combine to give a spin with magnitude , and all the quantum amplitudes vanish.

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.