Biquaternion representation of the spin one half and its application on the relativistic one electron atom
Quantum Physics
2024-03-06 v1 Nuclear Theory
Abstract
In this work we represent the Spin particles with complex quaternions using a transformation to 2x2 matrices in order to obtain the Pauli matrices. With this representation we determine the states, rotation operators and the total angular momentum function in the complex quaternion space. Using this representation we work the solution for the relativistic hydrogen atom.
Keywords
Cite
@article{arxiv.2403.02344,
title = {Biquaternion representation of the spin one half and its application on the relativistic one electron atom},
author = {Alejandro Arias Jiménez},
journal= {arXiv preprint arXiv:2403.02344},
year = {2024}
}