dorsal/arxiv
View SchemaSurfaces of Revolution via the Schroedinger Equation : Construction, Integrable Dynamics and Visualization
| Authors | R. Beutler, B. G. Konopelchenko |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9710027 |
| URL | https://arxiv.org/abs/solv-int/9710027 |
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.
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"abstract": "Surfaces of revolution in three-dimensional Euclidean space are considered.\nSeveral new examples of surfaces of revolution associated with well-known\nsolvable cases of the Schoedinger equation (infinite well, harmonic oscillator,\nCoulomb potential, Bargmann potential, etc.) are analyzed and visualized. The\nproperties of such surfaces are discussed. Two types of deformations\n(evolutions), namely 1) preserving the Gaussian curvature and 2) via the\ndynamics of the Korteweg-de-Vries equation are discussed.",
"arxiv_id": "solv-int/9710027",
"authors": [
"R. Beutler",
"B. G. Konopelchenko"
],
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"solv-int",
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],
"title": "Surfaces of Revolution via the Schroedinger Equation : Construction, Integrable Dynamics and Visualization",
"url": "https://arxiv.org/abs/solv-int/9710027"
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