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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.14162 |
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| _version_ | 1866911212423348224 |
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| author | Giardino, Sergio |
| author_facet | Giardino, Sergio |
| contents | The generalization of the imaginary unit is examined within the instances of the complex quantum mechanics ($\mathbb C$QM), and of the quaternionic quantum mechanics ($\mathbb H$QM) as well. Whereas the complex theory describes non-stationary quantum processes, the quaternionic theory does not admit such an interpretation, and associates the generalized imaginary unit to a novel time evolution function. Various possibilities are opened as future directions for future research. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_14162 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Generalized imaginary units in quantum mechanics Giardino, Sergio Quantum Physics The generalization of the imaginary unit is examined within the instances of the complex quantum mechanics ($\mathbb C$QM), and of the quaternionic quantum mechanics ($\mathbb H$QM) as well. Whereas the complex theory describes non-stationary quantum processes, the quaternionic theory does not admit such an interpretation, and associates the generalized imaginary unit to a novel time evolution function. Various possibilities are opened as future directions for future research. |
| title | Generalized imaginary units in quantum mechanics |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2311.14162 |