Surfaces of Revolution via the Schroedinger Equation : Construction, Integrable Dynamics and Visualization

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
29 pages, 27 figures

Keywords

Exactly Solvable and Integrable Systems

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/94391

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/solv-int/9710027
 http://arxiv.org/abs/solv-int/9710027

Collections

arXiv