Abstract
It is shown that the motion of a charged particle in a uniform electric field, obeying Dirac-Lorentz relativistic equation of motion with radiation reaction, is confined in a plane. Further, the component of velocity normal to the lines of force continuously decreases to zero. Thus, the motion asymptotically tends to a rectilinear motion along the line of force. The motion is completely described up to a correcting factor 1+0[(e 3 F/m 2 c 4)2]e 3 F/m 2 c 4≃5.10−14 F for electrons,F in volts cm−1.
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Sen Gupta, N.D. On the motion of a charged particle in a uniform electric field with radiation reaction. Int J Theor Phys 4, 179–184 (1971). https://doi.org/10.1007/BF00673795
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DOI: https://doi.org/10.1007/BF00673795