Papers

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Mourre theory and spectral analysis of energy-momentum operators in relativistic quantum field theory

Janik Kruse
April 08, 2024
spectral theory, Mourre's conjugate operator method, absence of singular continuous spectrum, representations of the Poincaré group
open access link Lett. Math. Phys. 114, 106 (2024)

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)

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

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)

BOOK: Spectral Theory and Quantum Mechanics with an introduction to the Algebraic Formulation

Valter Moretti
October 26, 2012
functional analysis, spectral theory, operartor algebras
Springer UNITEXT SBN 978-88-470-2834-0
article file