Abstract
This chapter is both a continuation and generalization of the results of the preceding one, in that the two-body system with Coulomb potential,
is examined in the full generality of 2+1 spacetime dimensions. That is, since it was shown in Section 5.4.3 that the third spatial dimension may be eliminated by an ordinary spatial rotation of the center-of-mass rest frame, the reduced motion of the relativistic two-body system with conservative potential V = V (ρ) may be studied without loss of generality in the coordinates,
where Δz ≡ 0. In 2+1 dimensions, the azimuthal momentum is nonvanishing,
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© 1999 Springer Science+Business Media Dordrecht
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Trump, M.A., Schieve, W.C. (1999). The Coulomb Potential (II). In: Classical Relativistic Many-Body Dynamics. Fundamental Theories of Physics, vol 103. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9303-8_7
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DOI: https://doi.org/10.1007/978-94-015-9303-8_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5232-2
Online ISBN: 978-94-015-9303-8
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