Generalized imaginary units in quantum mechanics

• URL: http://arxiv.org/abs/2311.14162v1
• Date: Thu, 23 Nov 2023 19:00:46 GMT
• Title: Generalized imaginary units in quantum mechanics
• Authors: Sergio Giardino
• Abstract summary: 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) The quaternionic theory does not admit such an interpretation, and associates the generalized imaginary unit to a novel time evolution function.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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