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The Didactical Relevance of the Pauli Pascal Triangle (Die didaktische Relevanz des Pauli-Pascal-Dreiecks)

2006/11/28 by Martin Erik Horn, Horn, Martin Erik · 1 citation
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #FOS: Physical sciences #Mathematics and Applications #Physics Education (physics.ed-ph) #physics.ed-ph

paper · pdf · doi:10.48550/arxiv.physics/0611277

8 pages, 3 figures, in Englisch and German

arxiv created 2006/11/28 · openalex publication_date 2006/11/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In high school physics and physics at university level anti-commutative and non-commutative quantities play an outstanding role at the theoretical description of physical relations. But while using commutative quantities, the basic formal relations of mathematical physics are introduced clearly and step-by-step, a similar clear presentation of non-commuatative relations with didactical sensible examples is lacking. On the basis of a q-analog of the Pascal triangle (sometimes called quantum Pascal triangle) this paper discusses whether a less abstract introduction into non-commutative relations is possible. The didactical relevance of this approach is analysed. In an attachment all three triangles of the Pauli Pascal plane are presented.

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