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arXiv · 2311.14162

Generalized imaginary units in quantum mechanics

Sergio Giardino
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Abstract

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.

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Sergio Giardino. 2023-11-23. Generalized imaginary units in quantum mechanics. https://doi.org/10.1142/s0219887826500027

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