Spin Operators, Pauli Group, Commutators, Anti-Commutators, Kronecker Product and Applications

2014/05/22 by Willi-Hans Steeb, Steeb, Willi-Hans, Yorick Hardy +1
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Coding theory and cryptography #FOS: Physical sciences #Finite Group Theory Research #Mathematical Physics (math-ph) #graph theory and CDMA systems #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1405.5749

Comments are welcome, misprints removed, Bose operators example added

openalex publication_date 2014/05/22 · arxiv created 2014/06/02 · arxiv updated 2014/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Pauli spin matrices, Pauli group, commutators, anti-commutators and the Kronecker product are studied. Applications to eigenvalue problems, exponential functions of such matrices, spin Hamilton operators, mutually unbiased bases, Fermi operators and Bose operators are provided.

Citations

• Geometrical view of the Mean King Problem

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• Tensor Commutation Matrices and Some Generalizations of the Pauli Matrices