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The characteristic polynomial in calculation of exponential and elementary functions in Clifford algebras
  • Arturas Acus,
  • Adolfas Dargys
Arturas Acus
Vilniaus Universitetas Teorines fizikos ir astronomijos institutas

Corresponding Author:arturas.acus@tfai.vu.lt

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Adolfas Dargys
Valstybinis moksliniu tyrimu institutas Fiziniu ir technologijos mokslu centras
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Formulas to calculate multivector exponentials in a basis-free representation and orthonormal basis are presented for an arbitrary Clifford geometric algebra , . The formulas are based on the analysis of roots of characteristic polynomial of a multivector. Elaborate examples how to use the formulas in practice are presented. The results are generalised to arbitrary functions of multivector and may be useful in the quantum circuits or in the problems of analysis of evolution of the entangled quantum states.
14 Dec 2022Submitted to Mathematical Methods in the Applied Sciences
14 Dec 2022Assigned to Editor
14 Dec 2022Submission Checks Completed
19 Dec 2022Review(s) Completed, Editorial Evaluation Pending
14 Jan 2023Reviewer(s) Assigned