Matter in the Rest-Frame Instant Form of Dynamics

2019 ◽  
pp. 54-118
Keyword(s):  
Rest Frame ◽  
Instant Form

scholarly journals THE LIENARD–WIECHERT POTENTIAL OF CHARGED SCALAR PARTICLES AND THEIR RELATION TO SCALAR ELECTRODYNAMICS IN THE REST-FRAME INSTANT FORM

1998 ◽  
Vol 13 (16) ◽  
pp. 2791-2831 ◽  
Author(s):  
DAVID ALBA ◽  
LUCA LUSANNA
Keyword(s):  
Electromagnetic Field ◽  
Dirac Equation ◽  
Rest Frame ◽  
Coulomb Gauge ◽  
Charged Scalar ◽  
Scalar Particles ◽  
Field System ◽  
Instant Form ◽  
Hamilton Equations ◽  
New Type

After a summary of a recently proposed new type of instant form of dynamics (the Wigner-covariant rest-frame instant form), the reduced Hamilton equations in the covariant rest-frame Coulomb gauge for the isolated system of N scalar particles with pseudoclassical Grassmann-valued electric charges plus the electromagnetic field are studied. The Lienard–Wiechert potentials of the particles are evaluated and it is shown how the causality problems of the Abraham–Lorentz–Dirac equation are solved at the pseudoclassical level. Then, the covariant rest-frame description of scalar electrodynamics is given. Applying to it the Feshbach–Villars formalism, the connection with the particle plus electromagnetic field system is found.

scholarly journals GENERALIZED EULERIAN COORDINATES FOR RELATIVISTIC FLUIDS: HAMILTONIAN REST-FRAME INSTANT FORM, RELATIVE VARIABLES, ROTATIONAL KINEMATICS

2004 ◽  
Vol 19 (17n18) ◽  
pp. 3025-3082 ◽  
Author(s):  
DAVID ALBA ◽  
LUCA LUSANNA
Keyword(s):  
Rest Frame ◽  
Deformable Body ◽  
Center Of Mass ◽  
Relativistic Fluids ◽  
Instant Form ◽  
Perfect Fluids ◽  
Rotational Kinematics ◽  
Eulerian Coordinates ◽  
New Formulation

We study the rest-frame instant form of a new formulation of relativistic perfect fluids in terms of new generalized Eulerian configuration coordinates. After the separation of the relativistic center of mass from the relative variables on the Wigner hyper-planes, we define orientational and shape variables for the fluid, viewed as a relativistic extended deformable body, by introducing dynamical body frames. Finally we define Dixon's multipoles for the fluid.

scholarly journals Massless particles plus matter in the rest-frame instant form of dynamics

2010 ◽  
Vol 43 (40) ◽  
pp. 405203 ◽  
Author(s):  
David Alba ◽  
Horace W Crater ◽  
Luca Lusanna
Keyword(s):  
Rest Frame ◽  
Massless Particles ◽  
Instant Form

scholarly journals THE REST-FRAME INSTANT FORM OF RELATIVISTIC PERFECT FLUIDS WITH EQUATION OF STATE ρ=ρ(n, s) AND OF NONDISSIPATIVE ELASTIC MATERIALS

2000 ◽  
Vol 15 (31) ◽  
pp. 4943-5015 ◽  
Author(s):  
LUCA LUSANNA ◽  
DOBROMILA NOWAK-SZCZEPANIAK
Keyword(s):  
Equation Of State ◽  
Rest Frame ◽  
Lagrangian Coordinates ◽  
Elastic Materials ◽  
Instant Form ◽  
Perfect Fluids ◽  
Minkowski Space Time ◽  
Spacelike Hypersurfaces ◽  
Photon Gas ◽  
Tetrad Gravity

For perfect fluids with equation of state ρ=ρ(n, s), Brown1 gave an action principle depending only on their Lagrange coordinates αi(x) without Clebsch potentials. After a reformulation on arbitrary spacelike hypersurfaces in Minkowski space–time, the Wigner-covariant rest-frame instant form of these perfect fluids is given. Their Hamiltonian invariant mass can be given in closed form for the dust and the photon gas. The action for the coupling to tetrad gravity is given. Dixon's multipoles for the perfect fluids are studied on the rest-frame Wigner hyperplane. It is also shown that the same formalism can be applied to nondissipative relativistic elastic materials described in terms of Lagrangian coordinates.

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