On the relativistic classical motion of a radiating spinning particle in a magnetic field

Journal Article · Fri Apr 15 04:00:00 EDT 2011 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2010.10.010· OSTI ID:21579885

Kar, Arnab ^[1]; Rajeev, S G ^[1]

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1. Department of Physics and Astronomy, University of Rochester, Rochester, NY 14627 (United States)

Research Highlights: > We propose classical equations of motion for a charged particle with magnetic moment. > We account for radiation reaction as well. > Unlike previous proposals we do not have runaway solutions. > We find that the particle loses energy even in a constant magnetic field for a particular spin-polarized state. - Abstract: We propose classical equations of motion for a charged particle with magnetic moment, taking radiation reaction into account. This generalizes the Landau-Lifshitz equations for the spinless case. In the special case of spin-polarized motion in a constant magnetic field (synchrotron motion) we verify that the particle does lose energy. Previous proposals did not predict dissipation of energy and also suffered from runaway solutions analogous to those of the Lorentz-Dirac equations of motion.

• OSTI ID: 21579885
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 4 Vol. 326; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACCELERATORS
BREMSSTRAHLUNG
CHARGED PARTICLES
CYCLIC ACCELERATORS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELECTRODYNAMICS
ELECTROMAGNETIC RADIATION
ENERGY RANGE
EQUATIONS
EQUATIONS OF MOTION
FIELD EQUATIONS
MAGNETIC FIELDS
MAGNETIC MOMENTS
MATHEMATICAL SOLUTIONS
ORIENTATION
PARTIAL DIFFERENTIAL EQUATIONS
RADIATIONS
RELATIVISTIC RANGE
SPIN ORIENTATION
SYNCHROTRON RADIATION
SYNCHROTRONS
WAVE EQUATIONS