Classical relativistic motion of a pole particle under the action of external and proper scalar fields

The classical relativistic equations of motion of a pole particle subjected to scalar fields are investigated. It can be shown that in the case of a free particle the equations of motion admit a rigorous solution which corresponds to the uniform rectilinear motion. The probable existence of the runa...

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Bibliographic Details
Published in:Acta physica Academiae Scientiarum Hungaricae 1961-03, Vol.13 (1), p.11-19
Main Author: Abonyi, I.
Format: Article
Language:English
Subjects:
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
FIELD THEORY
INTERACTIONS
MASS
MOTION
NUCLEAR MODELS
PHYSICS
POLOLOGY
RELATIVITY THEORY
VARIATIONS
YUKAWA POTENTIAL
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Summary:The classical relativistic equations of motion of a pole particle subjected to scalar fields are investigated. It can be shown that in the case of a free particle the equations of motion admit a rigorous solution which corresponds to the uniform rectilinear motion. The probable existence of the runaway solutions is mentioned. It is shown that in a special case the particle can move uniformly along a straight line even under the action of a constant external field. The variation of the rest mass is studied on the basis of this example and it is pointed out that the proper field of the particle gives no contribution to the rest mass. An analog of Eliezer's integral theorem is derived for a particle moving in a central scalar field. Finally it is shown in a certain approximation that the particle cannot perform a uniform circular motion under the action of the force derived from the Yukawa potential.
ISSN:0001-6705
DOI:10.1007/BF03159808