On Time-Dependant Symmetries of Schroedinger Equation
Sergheyev, Arthur G.
arXiv, 9802124 / Harvested from arXiv
Text on arXiv
We show that the number of symmetry operators of order not higher that q of the nonstationary n-dimensional (n=1,2,3,4) Schroedinger equation (SE) with nonvanishing potentials is finite and does not exceed that of SE with zero potentials for arbitrary q=0,1,2,... . This result is applied for the determination of the general form of time dependance of the symmetry operators of SE with time-independant potentials.
Publié le : 1998-02-27
Classification:  Mathematics - Analysis of PDEs,  Mathematical Physics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{9802124,
     author = {Sergheyev, Arthur G.},
     title = {On Time-Dependant Symmetries of Schroedinger Equation},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9802124}
}

Sergheyev, Arthur G. On Time-Dependant Symmetries of Schroedinger Equation. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9802124/