Quaternionic quantum mechanics in real Hilbert space
arXiv:1803.11523 · doi:10.1016/j.geomphys.2020.103956
Abstract
A formulation of quaternionic quantum mechanics (QM) is presented in terms of a real Hilbert space. Using a physically motivated scalar product, we prove the spectral theorem and obtain a novel quaternionic Fourier series. After a brief discussion on unitary operators in this formalism, we conclude that this quantum theory is indeed consistent, and can be a valuable tool in the search for new physics.
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- Quaternionic Dirac free particle
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