nLab quaternionic quantum mechanics

Idea

Quaternionic quantum mechanics is the proposal to consider the principles of quantum mechanics but with the ground field of complex numbers systematically replaced by the ring of quaternions instead.

References

• Stephen Adler, Quaternionic Quantum Mechanics and Quantum Fields, International series of monographs on physics 88 Oxford University Press.
• Valter Moretti, Marco Oppio Quantum theory in quaternionic Hilbert space: How Poincaré symmetry reduces the theory to the standard complex one

  Rev. Math. Phys. 31, (2019) 1950013