SOME ASPECTS OF STOCHASTIC ELECTRODYNAMICS CONNECTED WITH THE THERMAL EFFECTS OF ACCELERATION FOR HARMONIC OSCILLATOR DIPOLE SYSTEMS.
Item
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Title
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SOME ASPECTS OF STOCHASTIC ELECTRODYNAMICS CONNECTED WITH THE THERMAL EFFECTS OF ACCELERATION FOR HARMONIC OSCILLATOR DIPOLE SYSTEMS.
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Identifier
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AAI8601632
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identifier
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8601632
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Creator
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COLE, DANIEL C.
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Contributor
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Timothy H. Boyer
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Date
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1985
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Language
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English
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Publisher
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City University of New York.
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Subject
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Physics, Elementary Particles and High Energy
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Abstract
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The theory of stochastic electrodynamics involves the behavior of classical charged particles in the presence of classical electromagnetic zero-point radiation. Past researchers have shown that this theory has close connections with quantum phenomena. Here, this theory is further explored with regard to its predictions of the physical behavior of classical harmonic dipole oscillators relativistically uniformly accelerated through classical electromagnetic zero-point radiation. Recently, Boyer showed that the statistical behavior of a single accelerated transverse oscillator agrees 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. Three problems treated in this thesis extend this analysis.;Part One treats a uniformly accelerated oscillator, unrestricted in its direction of oscillation. Analysis of this system is considerably simplified by introducing a Fermi-Walker transported coordinate system. Provided certain red-shift effects are taken into account, this system is found to agree with the behavior of a similarly constructed unaccelerated-thermal oscillator.;In Part Two, for the first time in either the classical or quantum literature, the thermal effects of acceleration are shown to hold for a particular spatially extended system. Two harmonic dipole oscillators are considered that are situated in a plane, oriented perpendicular to the direction of acceleration. Certain statistical properties are examined for this pair of accelerating oscillators, including the thermal-like van der Waals force acting between the two oscillators. Under certain specified conditions, which are described in fair detail, the statistical properties of this system are shown to agree with the statistical properties of the corresponding unaccelerated-thermal oscillator system.;A set of relationships are derived in Part Three between the electromagnetic fields of an unaccelerated, fluctuating electric dipole oscillator and the correlation functions of homogeneous, isotropic random classical electromagnetic radiation. These relationships are then shown to be useful in obtaining statistical properties, such as van der Waals forces, for systems of unaccelerated oscillators immersed in random classical electromagnetic radiation. The results of Part Two are then used to indicate the means for extending these calculations to systems of harmonic dipole oscillators uniformly accelerating through the classical vacuum.
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Type
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dissertation
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Source
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PQT Legacy CUNY.xlsx
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degree
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Ph.D.
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Program
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Physics
