1986
DOI: 10.1119/1.14729
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On the radiation from point charges

Abstract: An alternative derivation of the radiation field of a point charge is presented. It starts with the Fourier components of the current produced by the moving charge. The electric field is found from the vector wave equation. Each step in the integration permits physical interpretation. The retarded time appears very naturally in this derivation. The interpretation of the present derivation is that a charge at constant velocity v̄(‖v̄‖<c) does not radiate, not because it is unaccelerated, but because it h… Show more

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Cited by 34 publications
(21 citation statements)
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“…The central feature of this theory is that all particles (atomic-size and macroscopic particles) obey the same physical laws. Whereas Schrödinger postulated a boundary condition: Ψ → 0 as r → ∞ , the boundary condition in Mills' theory was derived from Maxwell's equations [28] The mathematics for all three theories converge to Eq. (38.66).…”
Section: Classical Solution Of the Schrödinger Equationmentioning
confidence: 99%
See 1 more Smart Citation
“…The central feature of this theory is that all particles (atomic-size and macroscopic particles) obey the same physical laws. Whereas Schrödinger postulated a boundary condition: Ψ → 0 as r → ∞ , the boundary condition in Mills' theory was derived from Maxwell's equations [28] The mathematics for all three theories converge to Eq. (38.66).…”
Section: Classical Solution Of the Schrödinger Equationmentioning
confidence: 99%
“…The condition for radiation by a moving charge is derived from Maxwell's equations [28]. The condition for nonradiation of a moving charge-density function is that the spacetime Fourier transform of the current-density function must not possess waves synchronous with waves traveling at the speed of light, that is synchronous with …”
Section: Backward Peak In the Electron Spectrum From Collisions Of 70mentioning
confidence: 99%
“…The time-structure of the resultant radiation is dictated by the time -structure of the radiating electron bunch. Due to electron-electron interactions within an electron bunch, a bunch 9 An electron traveling at constant velocity will not emit radiation unless the radiation matches a particular mode allowed by a medium (e.g., Cerenkov radiation) [Hau86].…”
Section: Bend Magnetsmentioning
confidence: 99%
“…This phenomenon, which is of great interest in high-energy physics, has been studied widely in the literature [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. Although this effect is generally discussed for the case of point-charge particles, its analysis can be used on extended charge distributions [15] or a bunch of charges [13,[16][17].…”
Section: Introductionmentioning
confidence: 99%