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Preparing an Isotopically Pure 229Th Ion Beam for Studies of 229mTh
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Classical helium atom with radiation reaction.

G Camelio1, A Carati, L Galgani

  • 1Università degli Studi di Milano, Corso di Laurea in Fisica, Via Celoria 16, I-20133 Milano, Italy. giovanni.camelio@gmail.com

Chaos (Woodbury, N.Y.)
|July 5, 2012
PubMed
Summary
This summary is machine-generated.

This study incorporates radiation reaction forces into a classical helium atom model, preventing atomic collapse and introducing dissipation. Numerical analysis reveals a unique invariant measure on the zero-dipole manifold, potentially singular.

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Area of Science:

  • Classical Electrodynamics
  • Atomic Physics
  • Computational Physics

Background:

  • Classical models of the helium atom often neglect radiation reaction forces.
  • Neglecting radiation reaction can lead to unphysical scenarios like spontaneous atomic breakdown.
  • The Dirac prescription is crucial for handling infinite energy emission in classical electrodynamics.

Purpose of the Study:

  • To investigate the effects of incorporating radiation reaction forces into a classical helium atom model.
  • To demonstrate how the Dirac prescription resolves inconsistencies in models without radiation reaction.
  • To analyze the system's dissipative properties and the behavior of the zero-dipole manifold.

Main Methods:

  • Development of a classical helium atom model including Coulomb and radiation reaction forces.
  • Application of the Dirac prescription to eliminate unphysical solutions.
  • Numerical simulation of the system's time evolution and invariant measure on the zero-dipole manifold.

Main Results:

  • The inclusion of radiation reaction forces prevents spontaneous atomic breakdown, a common issue in models without these forces.
  • The system exhibits a unique form of dissipation, attracting motion towards the zero-dipole manifold.
  • Numerical study of the invariant measure on the zero-dipole manifold suggests it may be singular.

Conclusions:

  • Radiation reaction forces are essential for a consistent classical model of the helium atom.
  • The Dirac prescription provides a physically meaningful way to handle radiation reaction.
  • The study of the zero-dipole manifold offers insights into atomic formation processes and their unique mathematical properties.