Spin Multiplicities
Thomas Curtright, Thomas Van Kortryk, Cosmas Zachos
TL;DR
This paper calculates how often a specific spin appears in the combined product of multiple spins and explores its behavior as the number of spins grows large, with brief mentions of potential applications.
Contribution
It introduces a method to compute spin multiplicities in tensor products and analyzes their asymptotic behavior for large numbers of spins.
Findings
Derived formulas for spin multiplicities in tensor products.
Analyzed asymptotic behavior for large n.
Outlined potential applications in physics.
Abstract
The number of times spin s appears in the Kronecker product of n spin j representations is computed, and the large n asymptotic behavior of the result is obtained. Applications are briefly sketched.
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