Developments on the Jordan-Schwinger construction and contraction for the su_q(2)

2015/03/13 by R. Kullock, Kullock, R.
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.1503.04232

openalex publication_date 2015/03/13 · arxiv created 2015/05/14 · arxiv updated 2015/05/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The contraction and Jordan-Schwinger construction connect the su(2) and the heisenberg algebra, going in oposite directions. This persists in the q-deformed cases, but in a slightly different way. This work investigates this further, discussing some details and results found in the litterature and presenting some new ones, including a non-linear expression that leads the contraction back to the original q-boson algebra used in the Jordan-Schwinger construction.

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