Quapp, WolfgangBofill i Villà, Josep M.2020-03-182020-03-182013-11-120259-9791https://hdl.handle.net/2445/152916The potential energy surface of a molecule can be decomposed into equipotential hypersurfaces of the level sets. It is a foliation. The main result is that the contours are the wave fronts of a certain hyperbolic partial differential equation, a wave equation. It is connected with the gradient lines, as well as with a corresponding eikonal equation. The energy seen as an additional coordinate plays the central role in this treatment. A solution of the wave equation can be a sharp front in the form of a delta distribution. We discuss a general Huygens' principle: there is no wake of the wave solution in every dimension.11 p.application/pdfeng(c) Springer Verlag, 2013Química físicaPhysical and theoretical chemistryLevel sets as progressing waves: an example for wake-free waves in every dimensioninfo:eu-repo/semantics/article6433902020-03-18info:eu-repo/semantics/openAccess