Fluctuations, correlations and finite volume effects in heavy ion collision

Finite volume corrections to higher moments are important observable quantities. They make possible to differentiate between different statistical ensembles even in the thermodynamic limit. It is shown that this property is a universal one. The classical grand canonical distribution is compared to the canonical distribution in the rigorous procedure of approaching the thermodynamic limit.Comment: 5 pages. To appear in Int. J. Mod. Phys E, QM2006/Shanghai proceedings - poster sessio

Finite Size Universe or Perfect Squash Problem v2

We give a physical notion to all self-adjoint extensions of the operator $id/dx$ in the finite interval. It appears that these extensions realize different non-unitary equivalent representations of CCR and are related to the momentum operator viewed from different inertial systems. This leads to the generalization of Galilei equivalence principle and gives a new insight into quantum correspondence rule. It is possible to get transformation laws of wave function under Galilei transformation for any scalar potential. This generalizes mass superselection rule. There is also given a new and general interpretation of a momentum representation of wave function. It appears that consistent treatment of this problem leads to the time-dependent interactions and to the abrupt switching-off of the interaction.Comment: 15 pages, Accepted for publication in Journal of Mathematical Physic

Nonlinear Constraints from Non-Abelian Internal Symmetries

Symmetry invariant local interaction of a many body system leads to global constraints. We obtain explicit forms of the global macroscopic condition assuring that at the microscopic level the evolution respects the overall symmetry.Comment: 4 pages, to appear in Nuclear Physics Proceedings Supplement: STATISTICAL QCD, held at Bielefeld August 200

Dynamics of Multiparticle Systems with non - Abelian Symmetry

We consider the dynamics governing the evolution of a many body system constrained by an nonabelian local symmetry. We obtain explicit forms of the global macroscopic condition assuring that at the microscopic level the evolution respects the overall symmetry constraint. We demonstrate the constraint mechanisms for the case of SU(2) system comprising particles in fundamental, and adjoint representations (`nucleons' and `pions').Comment: Minor claryfying correstions and improving of references were done. Accepted for publication in EPJ

Dirac Operator on the Standard Podles Quantum Sphere

Using principles of quantum symmetries we derive the algebraic part of the real spectral triple data for the standard Podle\'s quantum sphere: equivariant representation, chiral grading $\gamma$, reality structure $J$ and the Dirac operator $D$, which has bounded commutators with the elements of the algebra and satisfies the first order condition.Comment: 10 pages, LaTeX, to appear in Banach Center Publicatio