Expansions of Lie algebras are the opposite process of contractions. Starting from a Lie algebra, the expansion process goes to another one, nonisomorphic and less abelian. We propose an expansion method based in the Casimir invariants of the initial and expanded algebras and where the free parameters involved in the expansion are the curvatures of their associated homogeneous spaces. This meth...

PLANETARY IMAGES. Jon Earl, Agustin Chicarro, Christian Koeberl, Pier Giorgio Marchetti, and Martin Milnes, LogicaCMG UK Ltd (Space & Defense Division), Chaucer House, The Office Park, Leatherhead, Surrey KT22 7LP, United Kingdom ([email protected]; [email protected]); ESA/ESTEC, Scientific Programme, Keplerlaan 1, 2200 AG Noordwijk, the Netherlands ([email protected]); De...

This is the first chapter of a new and unconventional textbook on quantum mechanics and quantum field theory. The chapter introduces standard quantum mechanics by means of a symmetry principle, without reference to classical mechanics. The mathematical foundation of this approach comes from a recent paper of Naudts and Kuna on covariance systems. The standard representation of quantum mechanics...

The “Laughlin” picture of the Fractional Quantum Hall effect can be derived using the “exotic” model based on the two-fold centrally-extended planar Galilei group. When coupled to a planar magnetic field of critical strength determined by the extension parameters, the system becomes singular, and “Faddeev-Jackiw” reduction yields the “Chern-Simons” mechanics of Dunne, Jackiw, and Trugenberger. ...

D. Fernández-Prieto1, J. Kesselmeier2, M. Ellis3, M. Marconcini4, A. Reissell5, and T. Suni5 1European Space Agency, ESRIN, Via Galileo Galilei, 00044, Frascati, Italy 2Max Planck Institute for Chemistry, Hahn-Meitner-Weg 1 55128 Mainz 3BGS Science Programme, UK 4Deutsches Zentrum für Luftund Raumfahrt (DLR), German Aerospace Center, Oberpfaffenhofen, 82234 Wessling, Germany 5iLEAPS Internation...

In this paper, we consider the variable-order Galilei advection diffusion equation with a nonlinear source term. A numerical scheme with first order temporal accuracy and second order spatial accuracy is developed to simulate the equation. The stability and convergence of the numerical scheme are analyzed. Besides, another numerical scheme for improving temporal accuracy is also developed. Fina...

a Università di Padova, Dipartimento di Fisica “G. Galilei” & Unità INFM Via Marzolo 8, I-35131 Padova, Italy. E-mail [email protected]; Phone +39 049 8277173 ; Fax +39 049 8277102 b Laboratory for Neutron Scattering, PSI Villigen and ETH Zurich CH-5232 Villigen PSI, Switzerland. E-mail [email protected]; Phone +41 56 3104611; Fax +41 56 3102939 On leave from: Istituto di C...

Sandro Azaele1,∗, Samir Suweis2,∗, Jacopo Grilli, Igor Volkov, Jayanth R. Banavar, Amos Maritan 1 Department of Applied Mathematics, School of Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom. 2 Dipartimento di Fisica ‘G. Galilei’ & CNISM, INFN, Università di Padova, Via Marzolo 8, 35131 Padova, Italy. 3 Department of Ecology and Evolution, University of Chicago, 1101 East 57th S...