The octonionic eigenvalue problem
Mathematical Physics
2015-06-11 v1 math.MP
Abstract
By using a real matrix translation, we propose a coupled eigenvalue problem for octonionic operators. In view of possible applications in quantum mechanics, we also discuss the hermiticity of such operators. Previous difficulties in formulating a consistent octonionic Hilbert space are solved by using the new coupled eigenvalue problem and introducing an appropriate scalar product for the probability amplitudes.
Keywords
Cite
@article{arxiv.1208.4999,
title = {The octonionic eigenvalue problem},
author = {Stefano De Leo and Gisele Ducati},
journal= {arXiv preprint arXiv:1208.4999},
year = {2015}
}
Comments
21 pages