Quadratic Jordan Formulation of Quantum Mechanics and Construction of Lie (Super)Algebras from Jordan (Super)Algebras

摘要

Quadratic Jordan formulation of quantum mechanics in terms of Jordan triple product is presented. This formulation extends to the case of octonionic quantum mechanics for which no Hilbert space formulation exists. Using ternary algebraic techniques, we then give the constructions of the derivation, structure and Tits-Koecher (Moebius) algebras of Jordan superalgebras. (Atomindex citation 10:480984)