Papers

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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

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 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 article file

Intertwining operators for symmetric hyperbolic systems on globally hyperbolic manifolds

Simone Murro, Daniele Volpe
April 07, 2020
Symmetric hyperbolic systems; Møller operator; Dirac operator; wave equation
open access link doi:10.1007/s10455-020-09739-0 article file

On the uniqueness of invariant states

Federico Bambozzi, Simone Murro
June 24, 2019
open access link Adv. Math. 376, 107445 (2021) article file

The Fermionic Signature Operator in De Sitter Spacetime

Claudio Dappiaggi, Felix Finster, Simone Murro, Emanuela Radici
February 25, 2019
Hadamard states, Ferminic Signature Operator, Dirac operator, de Sitter spacetime
open access link doi:10.1016/j.jmaa.2019.123808

The well-posedness of the Cauchy problem for the Dirac operator on globally hyperbolic manifolds with timelike boundary

Nadine Große, Simone Murro
June 18, 2018
Cauchy problem, Dirac operator, globally hyperbolic spacetimes with timelike boundary
open access link doi:10.25537/dm.2020v25.737-765 article file

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