Level sets as progressing waves: an example for wake-free waves in every dimension
| dc.contributor.author | Quapp, Wolfgang | |
| dc.contributor.author | Bofill i Villà, Josep M. | |
| dc.date.accessioned | 2020-03-18T10:06:51Z | |
| dc.date.available | 2020-03-18T10:06:51Z | |
| dc.date.issued | 2013-11-12 | |
| dc.date.updated | 2020-03-18T10:06:52Z | |
| dc.description.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. | |
| dc.format.extent | 11 p. | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.idgrec | 643390 | |
| dc.identifier.issn | 0259-9791 | |
| dc.identifier.uri | https://hdl.handle.net/2445/152916 | |
| dc.language.iso | eng | |
| dc.publisher | Springer Verlag | |
| dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1007/s10910-013-0286-9 | |
| dc.relation.ispartof | Journal of Mathematical Chemistry, 2013, vol. 52, num. 2, p. 654-664 | |
| dc.relation.uri | https://doi.org/10.1007/s10910-013-0286-9 | |
| dc.rights | (c) Springer Verlag, 2013 | |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.source | Articles publicats en revistes (Química Inorgànica i Orgànica) | |
| dc.subject.classification | Química física | |
| dc.subject.other | Physical and theoretical chemistry | |
| dc.title | Level sets as progressing waves: an example for wake-free waves in every dimension | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/acceptedVersion |
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