Mathematical Physics

    

Functions of Multivectors in 3D Euclidean Geometric Algebra Via Spectral Decomposition (For Physicists and Engineers)

Authors: Miroslav Josipović

Geometric algebra is a powerful mathematical tool for description of physical phenomena. The article [3] gives a thorough analysis of functions of multivectors in Cl3 relaying on involutions, especially Clifford conjugation and complex structure of algebra. Here is discussed another elegant way to do that, relaying on complex structure and idempotents of algebra. Implementation of Cl3 using ordinary complex algebra is briefly discussed.

Comments: 9 Pages. v3

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Submission history

[v1] 2015-07-13 05:24:00
[v2] 2015-07-15 06:57:12
[v3] 2015-12-07 17:03:44

Unique-IP document downloads: 931 times

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