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

dc.creatorBeutler, R.
dc.creatorKonopelchenko, B. G.
dc.date1997-10-30
dc.date1997-11-03
dc.date.accessioned2026-07-07T06:17:27Z
dc.date.available2026-07-07T06:17:27Z
dc.descriptionSurfaces 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.
dc.description29 pages, 27 figures
dc.identifierhttps://arxiv.org/abs/solv-int/9710027
dc.identifierhttp://arxiv.org/abs/solv-int/9710027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94391
dc.subjectExactly Solvable and Integrable Systems
dc.titleSurfaces of Revolution via the Schroedinger Equation : Construction, Integrable Dynamics and Visualization
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