Geometric Algorithm of Schr\"odinger Flow on a Sphere
Differential Geometry
2019-05-16 v1 Exactly Solvable and Integrable Systems
Abstract
We construct the solution to the periodic Cauchy problem of the Schr\"odinger flow on the sphere. Such construction of solutions is formulated explicitly and therefore a geometric algorithm of solving this periodic Cauchy problem follows. Theoretical and experimental results will be discussed.
Keywords
Cite
@article{arxiv.1905.06013,
title = {Geometric Algorithm of Schr\"odinger Flow on a Sphere},
author = {Hsiao-Fan Liu},
journal= {arXiv preprint arXiv:1905.06013},
year = {2019}
}
Comments
20 pages, 7 figures and 3 tables