activity
19952023
most citedContinuous slice functional calculus in quaternionic Hilbert spaces

177 citations · 1.4k across the 65 of their papers we have counts for

collaborators

67 papers

math-ph2023

Feynman path integrals on compact Lie groups with bi-invariant Riemannian metrics

Nicoló Drago, Sonia Mazzucchi, Valter Moretti

In this work we consider a suitable generalization of the Feynman path integral on a specific class of Riemannian manifolds consisting of compact Lie groups with bi-invariant Riema…

math-ph2023★ 9 cited

On the Relativistic Spatial Localization for massive real scalar Klein-Gordon quantum particles

Valter Moretti

I rigorously analyze a proposal, introduced by D.R.Terno, about a spatial localization observable for a Klein-Gordon massive real particle in terms of a Poincaré-covariant family o…

math-ph2022★ 4 cited

The quantization of Proca fields on globally hyperbolic spacetimes: Hadamard states and Møller operators

Valter Moretti, Simone Murro, Daniele Volpe

This paper deals with several issues concerning the algebraic quantization of the real Proca field in a globally hyperbolic spacetime and the definition and existence of Hadamard s…

math-ph2021

Paracausal deformations of Lorentzian metrics and Møller isomorphisms in algebraic quantum field theory

Valter Moretti, Simone Murro, Daniele Volpe

Given a pair of normally hyperbolic operators over (possibily different) globally hyperbolic spacetimes on a given smooth manifold, the existence of a geometric isomorphism, called…

gr-qc2021★ 2 cited

On the global Hadamard parametrix in QFT and the signed squared geodesic distance defined in domains larger than convex normal neighbourhoods

Valter Moretti

We consider the global Hadamard condition and the notion of Hadamard parametrix whose use is pervasive in algebraic QFT in curved spacetime (see refences in the main text). We poin…

math-ph2021

The classical limit of Schrödinger operators in the framework of Berezin quantization and spontaneous symmetry breaking as emergent phenomenon

Valter Moretti, Christiaan J. F. van de Ven

The algebraic properties of a strict deformation quantization are analysed on the classical phase space $\bR^{2n}$. The corresponding quantization maps enable us to take the limit…