A. I. Breev, A. V. Shapovalov
Published 2015-09-29Version 1
Integration of the Dirac equation with an external electromagnetic field is explored in the framework of the method of separation of variables and of the method of noncommutative integration. We have found a new type of solutions that are not obtained by separation of variables for several external electromagnetic fields. We have considered an example of crossed electric and magnetic fields of a special type for which the Dirac equation admits a nonlocal symmetry operator
The general Racah algebra as the symmetry algebra of generic systems on pseudo--spheres
Polynomial algebras from $su(3)$ and the generic model on the two sphere
Symmetry algebra for the generic superintegrable system on the sphere
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