Scattering in algebraic approach to quantum theory—jordan algebras

HIGHLIGHTS

• who: Albert Schwarz from the (UNIVERSITY) have published the article: Scattering in Algebraic Approach to Quantum Theoryu2014Jordan Algebras, in the Journal: Universe 2023, 9, 173. of /2023/

SUMMARY

This idea led to the notion of Jordan algebra defined as a commutative algebra over R with multiplication a ◦ b obeying ( x ◦ y)( x ◦ x )=x ◦ (y ◦ ( x ◦ x )). Starting with the original definition of Jordan algebra, the authors obtain a quadratic Jordan algebra taking Q a=2R2a - R a◦ a. It seems, however, that quadratic Jordan algebras are more convenient to relate Jordan algebras . . .

 



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