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is implied by classical electromagnetic theory augmented by the conditions of no radiation. Such a hypothesis would be essentially equivalent to suggesting a 'theory of nature' in which all stable particles (or aggregates) are merely nonradiating charge–current distributions whose mechanical
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will emit electromagnetic radiation. In some classical electron models a distribution of charges can however be accelerated so that no radiation is emitted. The modern derivation of these nonradiation conditions by
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orbiting the nucleus) may have radiationless orbits. Admitting that such speculation was out of fashion, he suggests that his solution may apply to the structure of the
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derived, for the first time, the general condition of nonradiation for an extended charge-current distribution, and produced many examples, some of which contained
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is based on the
Fourier components of the current produced by a moving point charge. It states that a distribution of accelerated charges will radiate
126:. In 1948, Bohm and Weinstein also found that charge distributions may oscillate without radiation; they suggest that a solution which may apply to
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114:. In the meantime, our understanding of classical nonradiation has been considerably advanced since 1925. Beginning as early as 1933,
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356:(1933). "The Electromagnetic Field of a Moving Uniformly and Rigidly Electrified Sphere and its Radiationless Orbits".
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published a short paper on "Irregular electrical movements without magnetic and radiation fields" demonstrating that
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Goedecke, G. H. (1964). "Classically
Radiationless Motions and Possible Implications for Quantum Theory".
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allow for the existence of accelerating charge distributions which emit no radiation. In 1913, the
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of the charge/current distribution that are lightlike (i.e. components that are synchronous with
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that they did not radiate. This was later subsumed by a postulate of quantum theory called
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published a surprising discovery that a charged sphere in accelerated motion (such as the
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of the atom abandoned the efforts to explain why its bound electrons do not radiate by
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Pearle, Philip (1978). "When can a classical electron accelerate without radiating?".
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derived
Goedecke's condition in a new way. Haus finds that all radiation is caused by
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in uniform motion, then there is no radiation. Haus uses his formulation to explain
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334:(1910). "Ungleichförmige Elektrizitätsbewegungen ohne Magnet- und Strahlungsfeld".
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of the atom, the orbiting point electron would constantly accelerate towards the
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Naturally, it is very tempting to hypothesize from this that the existence of
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Pearle, Philip (1982). "Classical
Electron Models". In Teplitz, Doris (ed.).
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400:; Weinstein, M. (1948). "The Self-Oscillations of a Charged Particle".
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in which the speed of light of the surrounding medium is less than
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The nonradiation condition went largely ignored for many years.
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appears in 1984. An important advance occurred in 1986, when
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Invisibility
Physics: Acceleration without radiation, part I
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163:. A Reed College undergraduate thesis on nonradiation in
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The nonradiation condition is important to the study of
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378:"Invisibility Physics: Schott's radiationless orbits"
142:. Goedecke was led by his discovery to speculate:
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296:(1986). "On the radiation from point charges".
187:has no lightlike Fourier components, such as a
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23:under which a distribution of accelerating
507:(1985). "Acceleration without radiation".
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138:and could conceivably be used to describe
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159:reviews the subject in his 1982 article
56:synchronous with waves traveling at the
35:in classical electromagnetism, a single
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474:. New York: Plenum. pp. 211–295.
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68:Finding a nonradiating model for the
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19:define the conditions according to
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161:Classical Electron Models
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98:Maxwell's equations
31:. According to the
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255:(11–12): 879–891.
228:Frank–Tamm formula
177:Fourier components
54:Fourier components
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443:(1B): B281–B288.
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92:. In 1910
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