Papers

Covariant homogeneous nets of standard subspaces

Vincenzo Morinelli, Karl-Hermann Neeb

October 14, 2020

algebraic quantum field theory, nets of standard subspaces, Lie groups, representation theory, Bisognano-Wichmann property

open access link doi:10.1007/s00220-021-04046-6 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)