https://doi.org/10.1140/epjp/s13360-021-01103-w
Regular Article
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
Received:
1
June
2020
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
