Quaternionic quantum mechanics in real Hilbert space

[摘要] formulation of quaternionic quantum mechanics (HQM) 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. (C) 2020 Elsevier B.V. All rights reserved.

[发布日期] 2020-12-01

[关键词] Quantum mechanics;Quaternions;Fourier analysis