Exotic Particle Dynamics using Novel Hermitian Spin Matrices

Timothy Ganesan

doi:10.20944/preprints202310.0076.v1

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preprints.org > physical sciences > mathematical physics > doi: 10.20944/preprints202310.0076.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Exotic Particle Dynamics using Novel Hermitian Spin Matrices

Timothy Ganesan

Version 1 : Received: 2 October 2023 / Approved: 2 October 2023 / Online: 3 October 2023 (05:40:19 CEST)

A peer-reviewed article of this Preprint also exists.

Ganesan, T. Exotic Particle Dynamics Using Novel Hermitian Spin Matrices. Axioms 2023, 12, 1052. Ganesan, T. Exotic Particle Dynamics Using Novel Hermitian Spin Matrices. Axioms 2023, 12, 1052.

Abstract

In this work, a generalized analogue to the Pauli spin matrices is presented and investigated. The proposed Hermitian spin matrices exhibit a general symmetry. The generalized spin projection operators are derived and the electrodynamics for hypothetical fermions are explored using the proposed spin matrices. The fermionic quantum Heisenberg model is constructed using the proposed spin matrices and comparative studies against simulation results using the Pauli spin matrices are conducted. Further analysis on key findings as well as discussions on extending the proposed spin matrix framework to describe hypothetical bosonic systems (spin-1) are provided.

Keywords

exotic particle dynamics; generalized hermitian spin matrices; Pauli matrices; electrodynamics; fermionic quantum Heisenberg model; bosonic spin systems

Subject

Physical Sciences, Mathematical Physics

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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