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quant-ph2022
The characteristic polynomial in calculation of exponential and elementary functions in Clifford algebras
Arturas Acus, Adolfas Dargys
Formulas to calculate multivector exponentials in a base-free representation and in a orthonormal basis are presented for an arbitrary Clifford geometric algebra Cl(p,q). The formu…
math-ph2022
Exponential and logarithm of multivector in low dimensional (n=p+q<3) Clifford algebras
Adolfas Dargys, Arturas Acus
Closed form expressions for a multivector exponential and logarithm are presented in real Clifford geometric algebras Cl(p,q)when n=p+q=1 (complex and hyperbolic numbers) and n=2 (…