Local Quantum Physics Crossroads

Papers

The correct formulation of Gleason's theorem in quaternionic Hilbert spaces

Valter Moretti, Marco Oppio

March 18, 2018

Gleason's theorem, spectral theory in quaternionic Hilbert spaces, trace class operators

open access link Annales Henri Poincaré 19 (2018) 3321-3355 article file

---

Quantum theory in quaternionic Hilbert space: How Poincaré symmetry reduces the theory to the standard complex one

Valter Moretti, Marco Oppio

September 26, 2017

quaternionic quantum mechanics, spectral theory, representation theory, von Neumann algebras

open access link Rev. Math. Phys. 31, (2019) 1950013 article file

---

Quantum theory in real Hilbert space: How the complex Hilbert space structure emerges from Poincaré symmetry

Valter Moretti, Marco Oppio

November 28, 2016

relativistic quantum theory, real spectral theory, representation theory

open access link Reviews in Mathematical Physics 29, 1750021 (2017)

---