Symmetry of the Schr\"odinger equation with variable potential
Fushchych, Wilhelm ; Symenoh, Zoya ; Tsyfra, Ivan
arXiv, 9801201 / Harvested from arXiv
Text on arXiv
We study symmetry properties of the Schr\"odinger equation with the potential as a new dependent variable, i.e., the transformations which do not change the form of the class of equations. We also consider systems of the Schr\"odinger equations with certain conditions on the potential. In addition we investigate symmetry properties of the equation with convection term. The contact transformations of the Schr\"odinger equation with potential are obtained.
Publié le : 1997-12-31
Classification:  Mathematical Physics 
@article{9801201,
     author = {Fushchych, Wilhelm and Symenoh, Zoya and Tsyfra, Ivan},
     title = {Symmetry of the Schr\"odinger equation with variable potential},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9801201}
}

Fushchych, Wilhelm; Symenoh, Zoya; Tsyfra, Ivan. Symmetry of the Schr\"odinger equation with variable potential. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9801201/