Multipolar Expansions for the Relativistic N-Body Problem in the Rest-Frame Instant Form

Abstract

Dixon's multipoles for a system of N relativistic positive-energy scalar particles are evaluated in the rest-frame instant form of dynamics. The Wigner hyperplanes (intrinsic rest frame of the isolated system) turn out to be the natural framework for describing multipole kinematics. In particular, concepts like the {\it barycentric tensor of inertia} can be defined in special relativity only by means of the quadrupole moments of the isolated system.

46 pages, revtex file

References in corpus (6)

• The Rest-Frame Instant Form of Metric Gravity
• Centers of Mass and Rotational Kinematics for the Relativistic N-Body Problem in the Rest-Frame Instant Form
• The Semi-Classical Relativistic Darwin Potential for Spinning Particles in the Rest-Frame Instant Form: 2-Body Bound States with Spin 1/2 Constituents
• A New Parametrization for Tetrad Gravity
• Dirac's Observables for the Rest-Frame Instant Form of Tetrad Gravity in a Completely Fixed 3-Orthogonal Gauge
• Hamiltonian linearization of the rest-frame instant form of tetrad gravity in a completely fixed 3-orthogonal gauge: a radiation gauge for background-independent gravitational waves in a post-Minkowskian Einstein spacetime

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• Hamiltonian Relativistic Two-Body Problem: Center of Mass and Orbit Reconstruction
• Towards Relativistic Atomic Physics. II. Collective and Relative Relativistic Variables for a System of Charged Particles plus the Electro-Magnetic Field
• Klein-Gordon and Dirac gyroscopes
• On Relativistic Entanglement and Localization of Particles and on their Comparison with the Non-Relativistic Theory
• Relativistic Entanglement from Relativistic Quantum Mechanics in the Rest-Frame Instant Form of Dynamics