Abstract
We show the existence of an infinite number of symmetric 2-particle interactions. These interactions are translation invariant, Lorentz invariant, and lead to second order differential equations. Our examples are analytic.
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References
R. Arens, Laws like Newton's. J. Math. Phys. 7,1341 (1966).
R. Arens, An Analysis of relativistic two particle interactions. Archive Rat. Mech. Analy. 47,255 (1972).
M. Spivak, Comprehensive Introduction to Differential Geometry. Publish or Perish, Waltham (Mass.) (1971).
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© 1982 Springer-Verlag
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Arens, R. (1982). Translation, dilation, Lorentz invariant two-particle interactions. In: Llosa, J. (eds) Relativistic Action at a Distance: Classical and Quantum Aspects. Lecture Notes in Physics, vol 162. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11573-0_2
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DOI: https://doi.org/10.1007/3-540-11573-0_2
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