ORCID
- Ansell, Lauren: 0000-0003-4800-1718
- Heinzl, Tom: 0000-0001-8954-1986
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
Recommended Citation
Ansell, L., Heinzl, T., & Ilderton, A. (2018) 'Superintegrable relativistic systems in scalar background fields', Journal of Physics A: Mathematical and Theoretical, . Retrieved from https://pearl.plymouth.ac.uk/secam-research/880
