QuasiStäckel Hamiltonians and Electron Dynamics in an External Field in the TwoDimensional Case
Abstract
In the twodimensional case, we construct nondegenerate Hamiltonians that describe electron motion in an electromagnetic field and have additional integrals of motion quadratic in momentum. We completely classify the quasiStäckel Hamiltonians related to these systems in the cases where the leading approximation in momenta of the additional integral depends quadratically on the coordinates. We consider reductions of such systems that are symmetric under rotation about the z axis.
 Publication:

Theoretical and Mathematical Physics
 Pub Date:
 May 2019
 DOI:
 10.1134/S0040577919050039
 Bibcode:
 2019TMP...199..652M
 Keywords:

 classical electrodynamics;
 separation of variables;
 algebraic curve