Superintegrable relativistic systems in scalar background fields

L Ansell; T Heinzl; A Ilderton

Superintegrable relativistic systems in scalar background fields

L Ansell
, T Heinzl
, A Ilderton

School of Engineering, Computing and Mathematics

Research output: Contribution to journal › Article › peer-review

27 Downloads (Pure)

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.

Original language	English
Number of pages	0
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	0
Issue number	0
Publication status	Published - 9 Nov 2018

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math-ph
math.MP

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Symms scalar resub v2

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AU - Ilderton, A

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AB - 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.

KW - math-ph

KW - math.MP

UR - https://pearl.plymouth.ac.uk/secam-research/880/

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VL - 0

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

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ER -

Superintegrable relativistic systems in scalar background fields

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