荷電粒子の運動と自己場

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A charged particle moves under the action of the electric field through the Coulomb force and of the magnetic field through the Lorentz force. On the other hand, motion of charged particle induces the electromagnetic field filling the space. In the system of the Newton equation, which governs the motion of charged particles, and the Maxwell equation, which governs the electromagnetic field, self-field induced by a motion of a particle is usually neglected because the bulk electromagnetic field is induced by the motions of so many charged particles. In a charged particle, however, the distance between the two points, a point from which the self-field is radiated and another point to which the self-field acts to accelerate, is too short to neglect the mutual interaction. The careful investigation with respect to the self-field leads to many new terms to the equation of motion of a charged particle.An important one is the differential term of the third order called as the rate of acceleration, which changes the type of equation. There is the possibility that a charged particle moves in an unexpected way which is completely dif- ferent from one so far reasoned from the old type equation of motion. Another one is the differential term of the second order, whose coefficient corresponds to the dressed-mass. From the point of view of relativity, the dressed-mass diverges.This divergence of dressed-mass suggests that the present physical theory includes a contradiction.
帝京平成大学の論文
1997-06-01

荷電粒子の運動と自己場

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