On Time-Dependant Symmetries of Schroedinger Equation
Analysis of PDEs
2007-05-23 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
solv-int
Abstract
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.
Keywords
Cite
@article{arxiv.math/9802124,
title = {On Time-Dependant Symmetries of Schroedinger Equation},
author = {Arthur G. Sergheyev},
journal= {arXiv preprint arXiv:math/9802124},
year = {2007}
}
Comments
7 pages, Latex, no figures