Properties of a classical charged harmonic oscillator accelerated through classical electromagnetic zero-point radiation

Details Properties of a classical charged harmonic oscillator accelerated through classical electromagnetic zero-point radiation Properties of a classical charged harmonic oscillator accelerated through classical electromagnetic zero-point radiation

Apr 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..31.1972c&link_type=abstract

Physical Review D (Particles and Fields), Volume 31, Issue 8, 15 April 1985, pp.1972-1981

Statistics

Applications

14

Semiclassical Theories And Applications, Fundamental Problems And General Formalism

Scientific paper

The behavior of a classical charged harmonic oscillator is analyzed when the system is relativistically, uniformly accelerated through classical electromagnetic zero-point radiation. Recently, Boyer considered the same system but with oscillations confined to the plane perpendicular to the direction of acceleration. The statistical behavior of this accelerated transverse oscillator was found to agree with the statistical properties of a similar oscillator situated in an inertial frame and bathed by a thermal electromagnetic spectrum characterized by the Unruh-Davies temperature of T=ħa/2πck. Here, the restriction to transverse oscillations is removed. The equation of motion describing the system is simplified by using a coordinate system that is Fermi-Walker transported along the trajectory of the oscillator. The results found for the longitudinal oscillator are analogous to those found for the transverse oscillator; in general, though, the frequency of the accelerated oscillator is a function of the proper acceleration of the system.

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