  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.
