BELL - Fundamental Problems in Quantum Physics

The research network BELL deals with foundations of quantum mechanics with particular reference to the relation with relativity and quantum gravity as well as the transition from the microscopic to the macroscopic world. The TIFPA team in particular focuses on axiomatic and mathematical aspects of fundamental quantum theories.

The Science

The research topics of the TIFPA team of BELL research group regard various foundational, axiomatic and mathematical topics of Quantum Theories, also in relation with quantum field theory and quantum gravity. More precisely, several open theoretical issues arising from Algebraic Quantum Field Theory in Curved Spacetime and Algebraic formulations of Quantum Gravity are be studied, stressing on locality and covariance requirements. Moreover the formulation of Quantum Theories in Hilbert space in terms of von Neumann algebras is studied from a very general viewpoint, permitting the use of real, complex, quaternionic Hilbert spaces as admitted by Solér theorem. Another relevant research area concerns the rigorous Integral Functional formulations of QM also in non-trivial geometric backgrounds. Finally, Mathematical methods for Quantum Information, Quantum Control, Quantum Information and Cryptography are also investigated.


• Involved external institutions: Department of Mathematics at the University of Trento, Hamburg University, Bonn University, Polytechnic University of Turin
• INFN groups: Cosenza, Genova, Milano, Pavia, TIFPA, Trieste
• Principal Investigator: Pierantonio Zanghì (INFN Genova)
• INFN Project: CSN IV
• Duration: n/a


• Local responsible for TIFPA: Valter Moretti
• Involved TIFPA people: Romeo Brunetti, Riccardo Ghiloni, Sonia Mazzucchi, Alessandro Perotti, Davide Pastorello, Marco Oppio, Alberto Melati, Nicolò Cangiotti


John Stewart Bell


John Stewart Bell (1928 - 1990), a truly deep and serious thinker, was one of the leading experts on the foundations of quantum mechanics.