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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Accepted: 15 November 2019
Published online: 23 January 2020
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