New Symmetries in Mathematical Physics Equations
Abstract
Description
An algorithm for studing the symmetrical properties of the partial differential equation of the type Lu=0 is proposed. By symmetry of this equation we mean the operators Q satisfying commutational relations of order p more than p=1 on the solutions u: [L...[L,Q]...]u=0. It is shown, that within the framework of the proposed method with p=2 the relativistic D'Alembert and Maxwell equations are the Galilei symmetrical ones. Analogously, with p=2 the Galilei symmetrical Schroedinger equation is the relativistic symmetrical one. In both cases the standard symmetries are realized with p=1.
7 pages, LaTeX, Report at the 7th International Conference "Symmetry Methods in Physics", JINR, Dubna, Russia, July 10-16, 1995
7 pages, LaTeX, Report at the 7th International Conference "Symmetry Methods in Physics", JINR, Dubna, Russia, July 10-16, 1995