Nonrelativistic and Relativistic Coulomb Amplitude as the Matrix Element of a Rotation inO(4,2)
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields1971Vol. 3(4), pp. 956–959
Citations Over TimeTop 25% of 1971 papers
Abstract
It is shown that the Coulomb amplitude is the matrix element of the group element ${e}^{\mathrm{i}(\ensuremath{\theta}+\ensuremath{\pi})\mathrm{J}2}$ evaluated in a continuous basis in $\mathrm{SO}(4,2)$. The method is applied to the relativistic Kepler problem without spins, but with the recoil corrections included. The form of the amplitude for this case is believed to be new.
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