Pauli Pascal Pyramids, Pauli Fibonacci Numbers, and Pauli Jacobsthal Numbers

2007/11/26 by Martin Erik Horn, Horn, Martin Erik
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #math.GM

paper · pdf · doi:10.48550/arxiv.0711.4030

33 pages, 22 figures

arxiv created 2007/11/26 · arxiv updated 2009/12/01

Abstract

The three anti-commutative two-dimensional Pauli Pascal triangles can be generalized into multi-dimensional Pauli Pascal hyperpyramids. Fibonacci and Jacobsthal numbers are then generalized into Pauli Fibonacci numbers, Pauli Jacobsthal numbers, and Pauli Fibonacci numbers of higher order. And the question is: are Pauli rabbits killer rabbits?

Related

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• The Didactical Relevance of the Pauli Pascal Triangle (Die didaktische Relevanz des Pauli-Pascal-Dreiecks)
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• Geometric Number Systems and Spinors
• Pauli matrices and ring puzzles