Quaternionic quantum harmonic oscillator
Departamento de Matemática Pura e Aplicada, Universidade Federal do Rio Grande do Sul (UFRGS), Avenida Bento Gonçalves 9500, Caixa Postal 15080, 91501-970, Porto Alegre, RS, Brazil
Accepted: 11 January 2021
Published online: 23 January 2021
In this article we obtained the harmonic oscillator solution for quaternionic quantum mechanics (QM) in the real Hilbert space, both in the analytic method and in the algebraic method. The quaternionic solutions have many additional possibilities if compared to complex quantum mechanics (QM), and thus there are many possible applications to these results in future research.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021