A slightly modified and regularized version of the non-relativistic limit of the relativistic anyon model considered by Jackiw and Nair yields particles associated with the twofold central extension of the Galilei group, with independent spin and exotic structure.

PURPOSE To assess the agreement between the elevation and curvature measurements of the anterior and posterior corneal surfaces obtained using the Galilei Dual Scheimpflug Analyzer and those obtained using the Pentacam single Scheimpflug system. METHODS This prospective, noninterventional, diagnostic study was conducted at the Department of Ophthalmology at the American University of Beirut (...

After defining conformal Galilean-type algebras for arbitrary dynamical exponent z we consider the particular cases of the conformal Galilei algebra (CGA) and the Schrödinger Lie algebra (sch). Galilei massless particles moving with arbitrary, finite velocity are introduced i) in d = 2 as a realization of the centrally extended CGA in 6 dimensional phase space, ii) in arbitrary spatial dimensio...

We describe in this paper a method for generating queries from both user’s profile description and users’s community of interest description. These queries are used for a monitoring task, so that those documents which are not already known by the user are retrieved. This method was implemented and integrated to the prototype of GALILEI, an open source Internet/Intranet project developed for GNU...

We discuss quantum deformations of Lie algebra as described by the noncoassociative modification of its coalgebra structure. We consider for simplicity the quantum D = 1 Galilei algebra with four generators: energy H, boost B, momentum P and central generator M (mass generator). We describe the nonprimitive coproducts for H and B and show that their noncocommutative and noncoassociative structu...

We reinvestigate Bargmann's superselection rule for the overall mass of n particles in ordinary quantum mechanics with Galilei invariant interaction potential. We point out that in order for mass to de ne a superselection rule it should be considered as a dynamical variable. We present a minimal extension of the original dynamics in which mass it treated as dynamical variable. Here the classica...