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math-ph2016★ 27 cited
Quantum theory in real Hilbert space: How the complex Hilbert space structure emerges from Poincaré symmetry
Valter Moretti, Marco Oppio
As established by Solèr, Quantum Theories may be formulated in real, complex or quaternionic Hilbert spaces only. Stückelberg provided physical reasons for ruling out real Hilbert…
math.FA2016★ 22 cited
Spectral representations of normal operators via Intertwining Quaternionic Projection Valued Measures
Riccardo Ghiloni, Valter Moretti, Alessandro Perotti
The possibility of formulating quantum mechanics over quaternionic Hilbert spaces can be traced back to von Neumann's foundational works in the thirties. The absence of a suitable…