Valter Moretti | Local Quantum Physics Crossroads

Valter Moretti

Papers

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)

Spectral representations of normal operators via Intertwining Quaternionic Projection Valued Measures

Riccardo Ghiloni, Valter Moretti, Alessandro Perotti

February 08, 2016

quaternionic functional analysis, spectral theory in quaternionic Hilbert spaces

open access link Rev. Math. Phys. 29 (2017) 1750034

Mathematical Foundations of Quantum Mechanics: An Advanced Short Course

Valter Moretti

August 27, 2015

quantum mechanics, spectral theory, von Neumann algebras, superselection rules, group representaton

open access link Int. J. Geom. Methods Mod. Phys. Vol. 13 (2016) 1630011 (103 pages)

Algebraic QFT in Curved Spacetime and quasifree Hadamard states: an introduction

Igor Khavkine, Valter Moretti

December 18, 2014

quantum field theory on curved spacetimes

open access link Chapter 5, Advances in Algebraic Quantum Field Theory, R. Brunetti et al. (eds.), Springer, 2015

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