Please use this identifier to cite or link to this item:
|Title:||Level sets as progressing waves: an example for wake-free waves in every dimension|
Bofill i Villà, Josep M.
Physical and theoretical chemistry
|Abstract:||The 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.|
|Note:||Versió postprint del document publicat a: https://doi.org/10.1007/s10910-013-0286-9|
|It is part of:||Journal of Mathematical Chemistry, 2013, vol. 52, num. 2, p. 654-664|
|Appears in Collections:||Articles publicats en revistes (Química Inorgànica i Orgànica)|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.