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mathematical, conceptual, and constructive problems in
local relativistic quantum physics (LQP).

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Valter Moretti's picture

Valter Moretti

Università di Trento
https://moretti.maths.unitn.it/home.html

Papers

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

Continuous and Analytic Dependence is an Unnecessary Requirement in Renormalization of Locally Covariant QFT

Igor Khavkine, Valter Moretti
November 06, 2014
locally covariant QFT, renormalization, Wick polynomials on curved spacetimes
open access link
Commun. Math. Phys. 344 (2016), 581-620
article file

Spectral properties of compact normal quaternionic operators

Riccardo Ghiloni, Valter Moretti, Alessandro Perotti
February 12, 2014
quaternionic functional analysis, compact operators
open access link Hypercomplex Analysis: New perspectives and applications, Trends in Mathematics, Birkhauser, Basel (2014)

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