2007/01/01 by Vladimir Dzhunushaliev
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #hep-ph #hep-th #math.RA #quant-ph
paper · pdf · doi:10.1155/2007/12387
published as Advances in High Energy Physics, vol. 2007, Article ID 12387, 10 pages, 2007 · main formulas are colored
openalex publication_date 2007/01/01 · arxiv created 2007/07/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Toy models of a nonassociative quantum mechanics are presented. The Heisenberg equation of motion is modified using a nonassociative commutator. Possible physical applications of a nonassociative quantum mechanics are considered. The idea is discussed that a nonassociative algebra could be the operator language for the nonperturbative quantum theory. In such approach the nonperturbative quantum theory has observables and unobservables quantities.