https://doi.org/10.1140/epjp/i2019-12626-x
Regular Article
Quaternionic perturbation theory
1
Applied Mathematics Department, State University of Campinas, Campinas, SP, Brazil
2
CCNH, Federal University of ABC, Santo André, SP, Brazil
3
CMCC, Federal University of ABC, Santo André, SP, Brazil
* e-mail: deleo@ime.unicamp.br
Received:
15
October
2018
Accepted:
12
December
2018
Published online:
21
March
2019
In this paper we present a perturbation theory for constant quaternionic potentials. The effects of quaternionic perturbations are explicitly treated for bound states of hydrogen atom, infinite potential well and harmonic oscillator. Comparison with relativistic corrections is also briefly discussed.
© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019