Papers

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Bulk-boundary asymptotic equivalence of two strict deformation quantizations

Valter Moretti, Christiaan J. F van de Ven
May 09, 2020
open access link Letters in Mathematical Physics 110(11), (2020) 2941-2963

An operational construction of the sum of two non-commuting observables in quantum theory and related constructions

Nicolò Drago, Sonia Mazzucchi, Valter Moretti
September 24, 2019
Observable, spectral theory, Projection-valued Measure, Trotter Formula, Feynman integral
open access link Lett. Math. Phys, (2020)

Strict deformation quantization of the state space of $M_k(\mathbb{C})$ with applications to the Curie-Weiss model

Klaas Landsman, Valter Moretti, Christiaan J. F. van de Ven
September 24, 2019
Deformation quantization, Strict Quantization Map, spontaneous symmetry breaking, Curie-Weiss model
open access link Reviews in Mathematical Physics (2020) in press

The notion of observable and the moment problem for *-algebras and their GNS representations

Nicolò Drago, Valter Moretti
March 18, 2019
open access link Lett. Math. Phys. 2020 article file

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

On Wick polynomials of boson fields in locally covariant algebraic QFT

Igor Khavkine, Alberto Melati, Valter Moretti
October 05, 2017
Wick polynomials on curved spacetimes
open access link Annales Henri Poincaré

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)

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