Review
Version 1
Preserved in Portico This version is not peer-reviewed
On Invariant Vectors in the Presence of Electric and Magnetic Fields
Version 1
: Received: 6 June 2023 / Approved: 7 June 2023 / Online: 7 June 2023 (08:19:04 CEST)
A peer-reviewed article of this Preprint also exists.
Pain, J.-C. On Invariant Vectors in the Presence of Electric and Magnetic Fields. Atoms 2023, 11, 105. Pain, J.-C. On Invariant Vectors in the Presence of Electric and Magnetic Fields. Atoms 2023, 11, 105.
Abstract
In this non-exhaustive review, we discuss the importance of invariant vectors in atomic physics, such as the Laplace-Runge-Lenz vector, the Redmond vector in the presence of an electric field, the Landau-Avron-Sivardière vector when the system is subject to a magnetic field, and the supergeneralized Runge-Lenz vector for the two-center problem. Application to Stark and Zeeman effects are outlined. The existence of constants of motion in the charge-dyon system is also briefly mentioned.
Keywords
symmetry; invariant vectors; Hermann-Bernoulli-Laplace-Runge-Lenz vector; Redmond invariant; dynamical symmetry; supergeneralized Runge-Lenz vector; Kustaanheimo-Stiefel transformation; charge-dyon system; MIC-Kepler problem
Subject
Physical Sciences, Atomic and Molecular Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment