English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

A complete exposition of the rest-frame instant form of dynamics forarbitrary isolated systems (particles, fields, strings, fluids)admitting aLagrangian description is given. The starting point is the parametrizedMinkowski theory describing the system in arbitrary admissible non-inertialframes in Minkowski space-time, which allows one to define the energy-momentumtensor of the system and to show the independence of the description from theclock synchronization convention and from the choice of the 3-coordinates. Inthe inertial rest frame the isolated system is seen as a decouplednon-covariant canonical external center of mass carrying a pole-dipolestructure (the invariant mass $M$ and the rest spin ${\vec {\bar S}}$ of thesystem) and an external realization of the Poincare' group. Then an isolatedsystem of positive-energy charged scalar articles plus an arbitraryelectro-magnetic field in the radiation gauge is investigated as a classicalbackground for defining relativistic atomic physics. The electric charges ofthe particles are Grassmann-valued to regularize the self-energies. Therest-frame conditions and their gauge-fixings (needed for the elimination ofthe internal 3-center of mass) are explicitly given. It is shown that there isa canonical transformation which allows one to describe the isolated system asa set of Coulomb-dressed charged particles interacting through a Coulomb plusDarwin potential plus a free transverse radiation field: these two subsystemsare not mutually interacting and are interconnected only by the rest-frameconditions and the elimination of the internal 3-center of mass. Therefore inthis framework with a fixed number of particles there is a way out from theHaag theorem,at least at the classical level.

canadian journal of physics

Towards Relativistic Atomic Physics. I. The Rest-Frame Instant Form of  Dynamics and a Canonical Transformation for a System of Charged Particles  plus the Electro-Magnetic Field