Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/152916
Title: | Level sets as progressing waves: an example for wake-free waves in every dimension |
Author: | Quapp, Wolfgang Bofill i Villà, Josep M. |
Keywords: | Química física Physical and theoretical chemistry |
Issue Date: | 12-Nov-2013 |
Publisher: | Springer Verlag |
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 |
URI: | http://hdl.handle.net/2445/152916 |
Related resource: | https://doi.org/10.1007/s10910-013-0286-9 |
ISSN: | 0259-9791 |
Appears in Collections: | Articles publicats en revistes (Química Inorgànica i Orgànica) |
Files in This Item:
File | Description | Size | Format | |
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643390.pdf | 393.08 kB | Adobe PDF | View/Open |
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