Papers

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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)

Frame functions in finite-dimensional Quantum Mechanics and its Hamiltonian formulation on complex projective spaces

Valter Moretti, Davide Pastorello
November 07, 2013
Frame function, Geometric formulation of quantum mechanics
open access link International Journal of Geometric Methods in Modern Physics Vol. 13 (2016) 1650013

Tunnelling black-hole radiation with $φ^3$ self-interaction: one-loop computation for Rindler Killing horizons

Giovanni Collini, Valter Moretti, Nicola Pinamonti
February 21, 2013
QFT on curved spacetimes, renormalization, Hawking radiation
open access link Lett. Math. Phys. 104 (2014) 217-232

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

Continuous slice functional calculus in quaternionic Hilbert spaces

Riccardo Ghiloni, Valter Moretti, Alessandro Perotti
July 03, 2012
quaternionic functional analysis, quaternionic continuous functional calculus
open access link Rev. Math. Phys. 25, (2013) 1350006

Generalized Complex Spherical Harmonics, Frame Functions, and Gleason Theorem

Valter Moretti, Davide Pastorello
May 21, 2012
Frame function, Gleason's theorem
open access link Annales Henri Poincare 14 (2013) 1435

Mass operator and dynamical implementation of mass superselection rule

Eleonora Annigoni, Valter Moretti
May 07, 2012
Bargamann superselection rule, mass operator
open access link Ann. Henri Poincaré 14 (2013), 893–924

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