Eur. Phys. J. Plus (2019) 134: 113
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

Abstract

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.