Testing Nonassociative Quantum Mechanics

Martin Bojowald, Suddhasattwa Brahma, Umut Büyükçam

Research output: Contribution to journalArticle

13 Citations (Scopus)

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.

Original languageEnglish (US)
Article number220402
JournalPhysical Review Letters
Volume115
Issue number22
DOIs
StatePublished - Nov 24 2015

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quantum mechanics
magnetic monopoles
state vectors
algebra
derivation
operators
physics
products
magnetic fields

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Bojowald, Martin ; Brahma, Suddhasattwa ; Büyükçam, Umut. / Testing Nonassociative Quantum Mechanics. In: Physical Review Letters. 2015 ; Vol. 115, No. 22.
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Testing Nonassociative Quantum Mechanics. / Bojowald, Martin; Brahma, Suddhasattwa; Büyükçam, Umut.

In: Physical Review Letters, Vol. 115, No. 22, 220402, 24.11.2015.

Research output: Contribution to journalArticle

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