New Symmetries in Mathematical Physics Equations

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dc.creatorKotel'nikov, G. A.
dc.date1997-01-09
dc.date.accessioned2026-07-07T10:15:48Z
dc.date.available2026-07-07T10:15:48Z
dc.descriptionAn 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.
dc.description7 pages, LaTeX, Report at the 7th International Conference "Symmetry Methods in Physics", JINR, Dubna, Russia, July 10-16, 1995
dc.identifierhttps://arxiv.org/abs/physics/9701006
dc.identifierhttp://arxiv.org/abs/physics/9701006
dc.identifierProc. 7th Int. Conf. "Symmetry Methods in Physics", Dubna, 2 (1996) 358-363
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173293
dc.subjectMathematical Physics
dc.titleNew Symmetries in Mathematical Physics Equations
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