Papers

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The Quantization of Maxwell Theory in the Cauchy Radiation Gauge: Hodge Decomposition and Hadamard States

Simone Murro, Gabriel Schmid
January 16, 2024
open access link

On the Cauchy problem for the Fadaray tensor on globally hyperbolic manifolds with timelike boundary

Nicoló Drago, Nicolas Ginoux, Simone Murro
June 12, 2023
Overdetermined initial-boundary value problem, Maxwell’s equations, Faraday tensor, Cauchy problem, globally hyperbolic manifolds with timelike boundary.
open access link doi:10.4171/RLM/1029

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

Valter Moretti, Simone Murro, Daniele Volpe
October 17, 2022
Proca Field, Hadamard states, M{\o}ller operator
open access link Annales Henri Poincaré (2023)

Wick rotation of linearized gravity in Gaussian time and Calderón projectors

Christian Gérard, Simone Murro, Michał Wrochna
April 03, 2022
open access link

Global and microlocal aspects of Dirac operators: propagators and Hadamard states

Matteo Capoferri, Simone Murro
January 28, 2022
Cauchy evolution operator; Dirac operator; Hadamard states;
open access link article file

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

Valter Moretti, Simone Murro, Daniele Volpe
September 14, 2021
paracausal deformation, convex interpolation, Cauchy problem, Møller operators, normally hyperbolic operators, algebraic quantum field theory, Hadamard states, globally hyper- bolic manifolds
open access link Sel. Math. New Ser. 29, 56 (2023) https://link.springer.com/article/10.1007/s00029-023-00860-z

Møller operators and Hadamard states for Dirac fields with MIT boundary conditions

Nicolò Drago, Nicolas Ginoux, Simone Murro
September 03, 2021
Symmetric weakly-hyperbolic systems; Møller operator; Dirac operator; MIT boundary conditions
open access link Doc. Math. 27, 1693-1737 (2022) article file

The Cauchy problem of the Lorentzian Dirac operator with APS boundary conditions

Nicolò Drago, Nadine Große, Simone Murro
April 01, 2021
Cauchy problem, classical Dirac operator, APS boundary condition, globally hyperbolic manifold with timelike boundary.
open access link article file

Injective tensor products in strict deformation quantization

Simone Murro, Christiaan J. F. van de Ven
October 07, 2020
Strict deformation quantization, injective tensor product, minimal C ˚ -norm, resolvent algebras, quantum spin system, Heisenberg model, Ising model, Curie-Weiss model.
open access link Math Phys Anal Geom 25, 2 (2022) article file

On the Cauchy problem for Friedrichs systems on globally hyperbolic manifolds with timelike boundary

Nicolas Ginoux, Simone Murro
July 06, 2020
symmetric hyperbolic systems, symmetric positive systems, admissible boundary conditions, Dirac operator, normally hyperbolic operator, Klein-Gordon operator, heat operator, reaction-diffusion operator, globally hyperbolic manifolds with timelike boundary.
open access link Adv. Differential Equations 27(7/8): 497-542 (2022) article file

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