Simulation of the effect of Galilean satellites in problems on the dynamics of Jupiter’s near and distant satellites

Various simplified representations of the motion of Galilean satellites are considered which are used in simulations of the near and distant satellites of Jupiter. For the near satellites it has been shown that of all simplified models the highest accuracy is attained with a model in which the motion of Galilean satellites is described by formulas of circular motion, and the accuracy is such that the model can well be used for preprocessing of observed data. The problem of short-period perturbations has been stated which arises in a high-accuracy simulation of the motion of distant satellites in view of the motion of fast circumjovial large satellites. It has been shown that this problem is solved most effectively with the use of Gaussian rings. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 60–65, January, 2008.     

Quantization of Galilean systems

The Kostant quantization method is applied to the Galilean group.     

Dominant role of dielectronic satellites in the radiation spectra of a laser plasma near the target surface

It is shown that in a dense, not very hot, multiply charged plasma the satellite structures of resonance lines can become more intense than the resonance lines themselves. Experimental and theoretical investigations show that the conditions under which the satellite structures dominate in the emission spectrum of the plasma are quite easily realized experimentally and, furthermore, apparently they will be the most typical case in investigations of compressed plasma regions in inertial-confinement fusion experiments and in the study of plasma produced by high-contrast pico-and femtosecond laser pulses. Pis’ma Zh. éksp. Teor. Fiz. 65, No. 9, 679–684 (10 May 1997)     

Galilean conformal and superconformal symmetries

Firstly we discuss briefly three different algebras named as nonrelativistic (NR) conformal: Schr?dinger, Galilean conformal, and infinite algebra of local NR conformal isometries. Further we shall consider in some detail Galilean conformal algebra (GCA) obtained in the limit c???? from relativistic conformal algebraO(d+1, 2) (d-number of space dimensions). Two different contraction limits providing GCA and some recently considered realizations will be briefly discussed. Finally by considering NR contraction of D = 4 superconformal algebra the Galilei conformal superalgebra (GCSA) is obtained, in the formulation using complexWeyl supercharges.     

Galilean invariance and magnetic monopoles

The existence of Dirac monopoles is shown to be incompatible with Galilean invariance. A discussion follows on the interpretation of monopoles physics in a Galilean approximation.     

Galilean invariance and magnetic charge

The Galilean and ‘dual’ invariant electrodynamics with magnetic charges is formulated. The definition of the main feature of relativistic electromagnetism is given. Consideration of different aspects of Galilean electromagnetism with magnetic charges is presented. It is shown in particular that the conclusion of Bacry & Kubar-Andre (1973) that the existence of the magnetic monopole is incompatible with Galilean invariance in general appears to be incorrect.     

Gauge functions and Galilean invariance of Lagrangians

A novel method to make Lagrangians Galilean invariant is developed. The method, based on null Lagrangians and their gauge functions, is used to demonstrate the Galilean invariance of the Lagrangian for Newton's law of inertia. It is suggested that this new solution of an old physics problem may have implications and potential applications to all gauge-based theories of physics.     

Polarimetry of Regular and Stochastic Signals in Magnetooptics

Physics of the Solid State - A brief review is presented of application of the high-sensitive laser polarimetry for detecting small changes—either regular, or stochastic—of the medium...     

On the decametric radiation of Jupiter

A possible mechanism of the influence of Io’s and Jupiter’s tidal baroelectric fields on the decametric radiation is discussed on a qualitative level.     

Entropy and Galilean invariance of lattice Boltzmann theories

A theory of lattice Boltzmann (LB) models for hydrodynamic simulation is developed upon a novel relation between entropy construction and roots of Hermite polynomials. A systematic procedure is described for constructing numerically stable and complete Galilean invariant LB models. The stability of the new LB models is illustrated with a shock tube simulation.     

Polarimetry of the polarized proton and deuteron beams at intermediate energies

Method and results of the beam polarization measurements are presented. The measurements were carried out at the proton polarized beam of Saturne-II accelerator as well as at the JINR (Dubna) synchrophasotron vector polarized deuteron beam. The analysis of the elastic (quasi-elastic) pp-scattering polarization is used as a method of the polarization measurements. The energy range of the measurement is 1.0≤T _p ≤2.8 GeV for polarized proton and 1.66≤T _d ≤7.3 GeV for polarized deuteron beams.     

Energy principles and the equations of motion in Galilean thermomechanics

A simple thermodynamic condition of the type of the first law is formulated. When combined with the Galilean principle of relativity, it leads to the classical structure of balance equations of continuum thermomechanics. The concepts of mass, linear momentum and those of the total, internal and kinetic energies are consequences of the axiom structure.The author wishes to thank Professor J. Kvasnica for valuable suggestions concerning the presentation of the paper.     

Inadequacy of the usual Galilean transformation in quantum mechanics

We show that the superselection rule in the Galilean transformation, forbidding the superposition of states of different mass, in inconsistent with the nonrelativistic limit of the Lorentz transformation. We also point out that the extra Galilean phase is merely the residue of the "twin-paradox" effect, which does not vanish nonrelativistically. In general, there are phase effects due to proper time differences, and effects due to mass-energy equivalence, that do not vanish nonrelativistically but that are not handled adequately by the Galilean transformation.