Spin Multiplicities

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.

Formatted into sections; references updated

References in corpus (10)

• Optimization of entanglement witnesses
• The Renormalization Group and Singular Perturbations: Multiple-Scales, Boundary Layers and Reductive Perturbation Theory
• Renormalization Group Theory for Global Asymptotic Analysis
• Entanglement Witnesses in Spin Models
• Power law violation of the area law in quantum spin chains
• Criticality without frustration for quantum spin-1 chains
• Altering the Symmetry of Wavefunctions in Quantum Algebras and Supersymmetry
• Composition of many spins, random walks and statistics
• Exact eigenspectrum of the symmetric simple exclusion process on the complete, complete bipartite, and related graphs
• Multidimensional Catalan and related numbers as Hausdorff moments

Cited by in corpus (11)

• The Mathematical Structure of $U$-Spin Amplitude Sum Rules
• Symmetric Multiqudit States: Stars, Entanglement, Rotosensors
• Composition of many spins, random walks and statistics
• Composing arbitrarily many $SU(N)$ fundamentals
• Color Characters for White Hot String Bits
• Stellar Representation of Grassmannians
• Designing locally maximally entangled quantum states with arbitrary local symmetries
• Deformations of the symmetric subspace of qubit chains
• Quantum group deformation of the Kittel--Shore model
• Counting Bethe States in Twisted Spin Chains
• $s$-Catalan numbers and Littlewood-Richardson polynomials