《泡利-帕斯卡三角形的教学意义》
The Didactical Relevance of the Pauli Pascal Triangle (Die didaktische Relevanz des Pauli-Pascal-Dreiecks)
摘要：
在高中物理和大学物理中，反对易量和非对易量在物理关系的理论描述中起着突出的作用。但在使用对易量时，对数学物理的基本形式关系的介绍是逐步清晰的，而对非对易关系的介绍则缺乏类似的清晰的教学实例。本文在帕斯卡三角形（有时称为量子帕斯卡三角形）的q-模拟的基础上，讨论了是否有可能引入非对易关系。这种方法的教学意义进行了分析。在一个附件中，所有三个三角形的泡利帕斯卡平面。
英文摘要：
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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