https://doi.org/10.1140/epjp/s13360-020-00201-5
Regular Article
Virial theorem and generalized momentum in quaternionic quantum mechanics
Departamento de Matemática Pura e Aplicada, Universidade Federal do Rio Grande do Sul (UFRGS), Avenida Bento Gonçalves 9500, Porto Alegre, RS, 91509-900, Brazil
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Received:
20
May
2019
Accepted:
15
November
2019
Published online:
23
January
2020
Abstract
After a review on recent results on quaternionic quantum mechanics (
), we present further consistency tests that reinforce its compatibility with the usual complex quantum mechanics. The novel results comprise the virial theorem, the quantum quaternionic Lorentz force, the existence of a quaternionic magnetic monopole and the redefinition of the expectation value.
© Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
