Superintegrable relativistic systems in scalar background fields

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 sys...

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Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 51; no. 49; pp. 495203 - 495217
Main Authors Ansell, L, Heinzl, T, Ilderton, A
Format Journal Article
LanguageEnglish
Published IOP Publishing 07.12.2018
Subjects
integrability
relativistic dynamics
superintegrability
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Summary: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.
Bibliography:JPhysA-110083.R1
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/aae9fb