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- Detlev Buchholz, Sergio Doplicher, Gianni Morchio, John E. Roberts, Franco Strocchi, F. STROCCHI
- 1997

- M Mnatsakanova, G Morchio, F Strocchi, Yu Vernov
- 1995

The representations of the Heisenberg algebra in Krein spaces, more generally in weakly complete inner product spaces, are classiied under general regularity and irreducibility conditions. Besides the Fock representation, two other types appear, one with negative, the other with two sided discrete spectrum of the number operator.

- J Ll Ooelholz, G Morchio, F Strocchi
- 1994

A functional integral representation is given for a large class of quantum mechanical models with a non{L 2 ground state. As a prototype the particle in a periodic potential is discussed: a unique ground state is shown to exist as a state on the Weyl algebra, and a functional measure (spectral stochastic process) is constructed on trajectories taking values… (More)

- G Morchio, F Strocchi
- 2009

The Lie and module (Rinehart) algebraic structure of vector fields of compact support over C ∞ functions on a (connected) manifold M define a unique universal non-commutative Poisson * algebra ΛR(M). For a compact manifold, a (antiher-mitian) variable Z ∈ ΛR(M), central with respect to both the product and the Lie product, relates commutators and Poisson… (More)

- J Löffelholz, Leipzig G Berufsakademie, Morchio, F Strocchi
- 2002

The problem of existence of ground state representations of the CCR algebra with free evolution are discussed and all the solutions are classified in terms of non regular or indefinite invariant function-als. In both cases one meets unusual mathematical structures which appear as prototypes of phenomena typical of gauge quantum field theory, in particular… (More)

- Detlev Buchholz, Sergio Doplicher, Giovanni Morchio, John E. Roberts, Franco Strocchi
- 2008

The classical Maxwell–Dirac and Maxwell–Klein–Gordon theories admit solutions of the field equations where the corresponding electric current vanishes in the causal complement of some bounded region of Minkowski space. This poses the interesting question of whether states with a similarly well localized charge density also exist in quantum electrodynamics.… (More)

- Franco Strocchi
- 2015

- Detlev Buchholz, Sergio Doplicher, Giovanni Morchio, John E. Roberts, Franco Strocchi
- 2005

By introducing the concepts of asymptopia and bi–asymptopia, we show how braided tensor C * –categories arise in a natural way. This generalizes constructions in algebraic quantum field theory by replacing local commutativity by suitable forms of asymptotic Abelianness.