Exotic Particle Dynamics Using Novel Hermitian Spin Matrices
In this work, an analogue to the Pauli spin matrices is presented and investigated. The proposed Hermitian spin matrices exhibit four symmetries for spin-1/<i>n</i> particles. The spin projection operators are derived, and the electrodynamics for hypothetical spin-1/2 fermions are explor...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-11-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/11/1052 |
| _version_ | 1797460190720688128 |
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| author | Timothy Ganesan |
| author_facet | Timothy Ganesan |
| author_sort | Timothy Ganesan |
| collection | DOAJ |
| description | In this work, an analogue to the Pauli spin matrices is presented and investigated. The proposed Hermitian spin matrices exhibit four symmetries for spin-1/<i>n</i> particles. The spin projection operators are derived, and the electrodynamics for hypothetical spin-1/2 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 of the key findings as well as discussions on extending the proposed spin matrix framework to describe hypothetical bosonic systems (spin-1 particles) are provided. |
| first_indexed | 2024-03-09T17:01:38Z |
| format | Article |
| id | doaj.art-7084ef438722440d80449717e78f7168 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-09T17:01:38Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-7084ef438722440d80449717e78f71682023-11-24T14:29:01ZengMDPI AGAxioms2075-16802023-11-011211105210.3390/axioms12111052Exotic Particle Dynamics Using Novel Hermitian Spin MatricesTimothy Ganesan0Department of Physics & Astronomy, University of Calgary, Calgary, AB T2N 1N4, CanadaIn this work, an analogue to the Pauli spin matrices is presented and investigated. The proposed Hermitian spin matrices exhibit four symmetries for spin-1/<i>n</i> particles. The spin projection operators are derived, and the electrodynamics for hypothetical spin-1/2 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 of the key findings as well as discussions on extending the proposed spin matrix framework to describe hypothetical bosonic systems (spin-1 particles) are provided.https://www.mdpi.com/2075-1680/12/11/1052exotic particle dynamicsnovel Hermitian spin matricesPauli matriceselectrodynamicsfermionic quantum Heisenberg modelbosonic spin systems |
| spellingShingle | Timothy Ganesan Exotic Particle Dynamics Using Novel Hermitian Spin Matrices Axioms exotic particle dynamics novel Hermitian spin matrices Pauli matrices electrodynamics fermionic quantum Heisenberg model bosonic spin systems |
| title | Exotic Particle Dynamics Using Novel Hermitian Spin Matrices |
| title_full | Exotic Particle Dynamics Using Novel Hermitian Spin Matrices |
| title_fullStr | Exotic Particle Dynamics Using Novel Hermitian Spin Matrices |
| title_full_unstemmed | Exotic Particle Dynamics Using Novel Hermitian Spin Matrices |
| title_short | Exotic Particle Dynamics Using Novel Hermitian Spin Matrices |
| title_sort | exotic particle dynamics using novel hermitian spin matrices |
| topic | exotic particle dynamics novel Hermitian spin matrices Pauli matrices electrodynamics fermionic quantum Heisenberg model bosonic spin systems |
| url | https://www.mdpi.com/2075-1680/12/11/1052 |
| work_keys_str_mv | AT timothyganesan exoticparticledynamicsusingnovelhermitianspinmatrices |