Superintegrable relativistic systems in scalar background fields
arXiv:1805.00375 · doi:10.1088/1751-8121/aae9fb
Abstract
We consider a relativistic charged particle in a background scalar field depending on both space and time. Poincaré, dilation and special conformal symmetries of the field generate conserved quantities in the charge motion, and we exploit this to generate examples of superintegrable relativistic systems. We also show that the corresponding single-particle wavefunctions needed for the quantum scattering problem can be found exactly, by solving the Klein-Gordon equation.
arXiv commentVersion 2: 17 pages, two PDF figures. Various discussions extended. Matches version to appear in J.Phys.A
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