New Symmetries in Mathematical Physics Equations
Kotel'nikov, G. A.
arXiv, 9701006 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1997-01-09
Classification:  Mathematical Physics 
@article{9701006,
     author = {Kotel'nikov, G. A.},
     title = {New Symmetries in Mathematical Physics Equations},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9701006}
}

Kotel'nikov, G. A. New Symmetries in Mathematical Physics Equations. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9701006/