Newton’s standard theory of gravitation is reformulated as a gauge theory of the extended Galilei Group. The Action principle is obtained by matching the gauge technique and a suitable limiting procedure from the ADM-De Witt action of general relativity coupled to a relativistic mass-point. On leave from: Dipartimento di Fisica Sezione di Fisica Teorica, Università di Parma, 43100 Parma, Italy,...

A non-relativistic plasma model endowed with an “exotic” structure associated with the two-parameter central extension of the planar Galilei group is constructed. Introducing a Chern-Simons statistical gauge field provides us with a self-consistent system; when the magnetic field takes a critical value determined by the extension parameters, the fluid becomes incompressible and moves collective...

F. Stienkemeier,1 O. Bünermann,1 R. Mayol,2 F. Ancilotto,3 M. Barranco,2 and M. Pi2 1Fakultät für Physik, Universität Bielefeld, D-33615 Bielefeld, Germany 2Departament E.C.M., Facultat de Física, Universitat de Barcelona, E-08028, Spain 3INFM (Udr Padova and DEMOCRITOS National Simulation Center, Trieste, Italy) and Dipartimento di Fisica “G. Galilei,” Università di Padova, via Marzolo 8, I-35...

1 Institute of Astronomy, Madingley Road, CB3 0HA Cambridge, UK 2 INAF-Osservatorio Astronomico di Trieste, via G.B. Tiepolo 11, I-34131 Trieste, Italy 3 Institute for Astronomy, University of Edinburgh, Blackford Hill, Edinburgh EH9 3HJ 4 Harvard-Smithsonian Center for Astrohpysics, 60 Garden Street, Cambridge, MA 02198, USA 5 Dipartimento di Fisica ‘Galileo Galilei’ e INFN Sez. di Padova, via...

Dimensional Reduction and Localization of a Bose–Einstein Condensate in a Quasi-1D Bichromatic Optical Lattice L. Salasnich and S.K. Adhikari Dipartimento di Fisica “Galileo Galilei” and CNISM, Università di Padova, Via Marzolo 8, 35131 Padova, Italy Istituto Nazionale di Ottica (INO) del Consiglio Nazionale delle Ricerche (CNR), Sezione di Sesto Fiorentino, Via Nello Carrara, 1 50019 Sesto Fio...