Surfaces of Revolution via the Schroedinger Equation : Construction, Integrable Dynamics and Visualization
solv-int
2007-05-23 v2 Exactly Solvable and Integrable Systems
Abstract
Surfaces of revolution in three-dimensional Euclidean space are considered. Several new examples of surfaces of revolution associated with well-known solvable cases of the Schoedinger equation (infinite well, harmonic oscillator, Coulomb potential, Bargmann potential, etc.) are analyzed and visualized. The properties of such surfaces are discussed. Two types of deformations (evolutions), namely 1) preserving the Gaussian curvature and 2) via the dynamics of the Korteweg-de-Vries equation are discussed.
Keywords
Cite
@article{arxiv.solv-int/9710027,
title = {Surfaces of Revolution via the Schroedinger Equation : Construction, Integrable Dynamics and Visualization},
author = {R. Beutler and B. G. Konopelchenko},
journal= {arXiv preprint arXiv:solv-int/9710027},
year = {2007}
}
Comments
29 pages, 27 figures