Superintegrable relativistic systems in scalar background fields
Date
2018-11-09Author
Ansell, Lauren
Heinzl, Thomas
Ilderton, A
Subject
math-ph math-ph math.MP
Metadata
Show full item recordAbstract
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.
Description
14 pages, two PDF figures
Collections
Publisher
IOP Publishing
Journal
Journal of Physics A: Mathematical and Theoretical
Volume
51
Issue
49
Pagination
495203-495203
Author URL
Publisher URL
Number
ARTN 495203
Recommended, similar items
The following license files are associated with this item: