English

Quaternionic quantum harmonic oscillator

Quantum Physics 2021-01-27 v1

Abstract

In this article we obtained the harmonic oscillator solution for quaternionic quantum mechanics (\mathbbmH\mathbbm{H}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 (\mathbbmC\mathbbm{C}QM), and thus there are many possible applications to these results in future research.

Keywords

Cite

@article{arxiv.2101.03379,
  title  = {Quaternionic quantum harmonic oscillator},
  author = {Sergio Giardino},
  journal= {arXiv preprint arXiv:2101.03379},
  year   = {2021}
}

Comments

Accept by Eur. Phys. J. Plus