title: Testing Nonassociative Quantum Mechanics.
abstract: The familiar concepts of state vectors and operators in quantum mechanics rely on associative products of observables. However, these notions do not apply to some exotic systems such as magnetic monopoles, which have long been known to lead to nonassociative algebras. Their quantum physics has remained obscure. This Letter presents the first derivation of potentially testable physical results in nonassociative quantum mechanics, based on effective potentials. They imply new effects which cannot be mimicked in usual quantum mechanics with standard magnetic fields.
authors.affiliation: Institute for Gravitation and the Cosmos, The Pennsylvania State University, 104 Davey Lab, University Park, Pennsylvania 16802, USA.
authors.forename: Martin
authors.initials: M
authors.lastname: Bojowald
authors.affiliation: Institute for Gravitation and the Cosmos, The Pennsylvania State University, 104 Davey Lab, University Park, Pennsylvania 16802, USA.
authors.forename: Suddhasattwa
authors.initials: S
authors.lastname: Brahma
authors.affiliation: Institute for Gravitation and the Cosmos, The Pennsylvania State University, 104 Davey Lab, University Park, Pennsylvania 16802, USA.
authors.forename: Umut
authors.initials: U
authors.lastname: Büyükçam