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 inarXiv.org
Main Authors Ansell, L, Heinzl, T, Ilderton, A
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 10.11.2018
Subjects
Charged particles
Klein-Gordon equation
Mathematics - Mathematical Physics
Physics - Mathematical Physics
Relativism
Relativistic effects
Relativistic particles
Wave functions
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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.
ISSN:2331-8422
DOI:10.48550/arxiv.1805.00375