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Local Quantum Physics Crossroads

An international platform for information exchange among scientists working on
mathematical, conceptual, and constructive problems in
local relativistic quantum physics (LQP).

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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)

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