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Quaternionic perturbation theory

Quantum Physics 2019-03-20 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1903.07719,
  title  = {Quaternionic perturbation theory},
  author = {Stefano De Leo and Gisele Ducati and Caio Almeida Alves de Souza},
  journal= {arXiv preprint arXiv:1903.07719},
  year   = {2019}
}

Comments

15 pages, 4 figures

R2 v1 2026-06-23T08:12:09.365Z