ORCID

Abstract

We consider a relativistic charged particle in a background scalar field depending on both space and time. Poincar\'e, 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.

Publication Date

2018-11-09

Publication Title

Journal of Physics A: Mathematical and Theoretical

ISSN

1751-8113

Embargo Period

2019-10-22

Organisational Unit

School of Engineering, Computing and Mathematics

Keywords

math-ph, math.MP

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