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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:
It is part of: Journal of Mathematical Chemistry, 2013, vol. 52, num. 2, p. 654-664
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ISSN: 0259-9791
Appears in Collections:Articles publicats en revistes (Química Inorgànica i Orgànica)

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