TY - JOUR
T1 - Testing Nonassociative Quantum Mechanics
AU - Bojowald, Martin
AU - Brahma, Suddhasattwa
AU - Büyükçam, Umut
N1 - Publisher Copyright:
© 2015 American Physical Society.
PY - 2015/11/24
Y1 - 2015/11/24
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.115.220402
DO - 10.1103/PhysRevLett.115.220402
M3 - Article
AN - SCOPUS:84949680426
SN - 0031-9007
VL - 115
JO - Physical review letters
JF - Physical review letters
IS - 22
M1 - 220402
ER -