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