The algebra of classical observables for Maxwell k-forms on a manifold with time-like boundary

14 June 2019
Versione stampabile

Venue: Dipartimento di Matematica, via Sommarive, 14 - Povo (TN) - Sala Seminari "-1"
At: 09:30 a.m.

Speaker:

  • Nicolò Drago (Università di Trento)

Abstract:

We introduce a star-algebra of classical observables A(M) for the solution space Sol(M) of vector potential configurations on a globally hyperbolic manifold M with time-like boundary. The construction of A(M) is well-known for the case of empty boundary while boundary conditions have to be discussed for non-empty boundaries. We show that the algebra A(M) has two important properties: (a) it is separating for Sol(M), that is, observables in A(M) are capable to distinguish all con figurations in Sol(M); (b) it is optimal, namely it is the smallest algebra which is separating for Sol(M) - thus there are no redundant observables. We endow A(M) with a pre-symplectic structure and discuss its degeneracy. Joint work with C. Dappiaggi and R. Longhi.

Contact person: Valter Moretti