21 citations · 42 across the 5 of their papers we have counts for
5 papers
The Pure State Space of Quantum Mechanics as Hermitian Symmetric Space
R. Cirelli, M. Gatti, A. Maniá
The pure state space of Quantum Mechanics is investigated as Hermitian Symmetric Kaehler manifold. The classical principles of Quantum Mechanics (Quantum Superposition Principle, H…
On the Spectrum of Holonomy Algebras
Maria Cristina Abbati, Alessandro Mania`
Connections on a trivial bundle MxG can be identified with their holonomy maps, i.e. with homomorphisms of a groupoid of paths in M into the gauge group G. For a connected compact…
On the Spectrum of Holonomy Algebras
Maria Cristina Abbati, Alessandro Mania'
The paper has been withdrawn by the authors
Inductive Construction of the Loop Transform for Abelian Gauge Theories
Maria Cristina Abbati, Alessandro Mania`, Edoardo Provenzi
We construct the loop transform in the case of Abelian gauge theories as unitary operator given by the inductive limit of Fourier transforms on tori. We also show that its range, i…
On Differential Structure for Projective Limits of Manifolds
M. C. Abbati, A. Mania'
We investigate the differential calculus defined by Ashtekar and Lewandowski on projective limits of manifolds by means of cylindrical smooth functions and compare it with the C^in…