Papers

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