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Proof of the No-Interaction Theorem without Hamiltonian and Lagrangian Formalism

G. Yoneda
Proceedings: Mathematical and Physical Sciences
Vol. 445, No. 1923 (Apr. 8, 1994), pp. 221-229
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/52561
Page Count: 9
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Proof of the No-Interaction Theorem without Hamiltonian and Lagrangian Formalism
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Abstract

The proofs of the no-interaction theorem have been given by many authors in the framework of hamiltonian and lagrangian formalism. They are based on the assumption that there is hamiltonian or lagrangian describing the interaction between particles. This paper presents the proof without such an assumption for one, two, three and four particles. We assume the conservation laws for the linear and angular momentum that are the sums of the respective quantities of individual particles. Then there is no interaction, i.e. the worldlines of the individual particles are straight.

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