# Quaternionic quantum theory admits universal dynamics only for two-level systems

@inproceedings{Steinberg2020QuaternionicQT, title={Quaternionic quantum theory admits universal dynamics only for two-level systems}, author={Jonathan Steinberg and Huyen Chau Nguyen and Matthias Kleinmann}, year={2020} }

We revisit the formulation of quantum mechanics over the quaternions and investigate the dynamical structure within this framework. Similar to standard complex quantum mechanics, time evolution is then mediated by a unitary which can be written as the exponential of the generator of time shifts. By imposing physical assumptions on the correspondence between the energy observable and the generator of time shifts, we prove that quaternionic quantum theory admits a time evolution for systems with… CONTINUE READING

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