Testing non-associative quantum mechanics

Understand

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 non-associative algebras.
• Their quantum physics has remained obscure.
• This letter presents the first derivation of potentially testable physical results in non-associative quantum mechanics, based on effective potentials.