ar X iv : m at h - ph / 0 40 70 63 v 1 2 7 Ju l 2 00 4 Quantum electrodynamics on the 3 - torus

ar X iv : m at h - ph / 0 60 70 40 v 1 2 0 Ju l 2 00 6 Invariant Form of BK - factorization and its Applications

ar X iv : 0 70 7 . 33 03 v 1 [ m at h . O A ] 2 3 Ju l 2 00 7 OPERATOR - VALUED FRAMES

ar X iv : 0 70 7 . 40 46 v 1 [ m at h . A G ] 2 7 Ju l 2 00 7 CLIFFORD ’ S THEOREM FOR COHERENT SYSTEMS

Let C be an algebraic curve of genus g ≥ 2. We prove an analogue of Clifford’s theorem for coherent systems on C and some refinements using results of Re and Mercat.

ar X iv : m at h - ph / 0 10 30 34 v 1 2 5 M ar 2 00 1 MZ - TH 01 - 09 LPT - ORSAY 01 - 28 MULTIPLE NONCOMMUTATIVE TORI

We derive the Kac-Paljutkin finite-dimensional Hopf algebras as finite fibrations of the quantum double torus and generalize the construction for quantum multiple tori.

ar X iv : 0 70 8 . 27 79 v 1 [ m at h - ph ] 2 1 A ug 2 00 7 A Survey on the Classical Limit of Quantum Dynamical Entropies ∗

We analyze the behavior of quantum dynamical entropies production from sequences of quantum approximants approaching their (chaotic) classical limit. The model of the quantized hyperbolic automorphisms of the 2–torus is examined in detail and a semi–classical analysis is performed on it using coherent states, fulfilling an appropriate dynamical localization property. Correspondence between quan...