Related papers: Biquaternion representation of the spin one half and its application on the relativistic one electron atom

Biquaternion representation of the spin one half and its application on the relativistic one electron atom

URL: http://arxiv.org/abs/2403.02344v1
Date: Wed, 28 Feb 2024 19:24:13 GMT
Title: Biquaternion representation of the spin one half and its application on the relativistic one electron atom
Authors: Alejandro Arias Jim\'enez
Abstract summary: In this work we represent the $1/2$ Spin particles with complex quaternions. We determine the states, rotation operators and the total angular momentum function in the complex quaternion space.
Score: 65.268245109828
License: http://creativecommons.org/licenses/by/4.0/
Abstract: In this work we represent the $1/2$ 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.

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