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The article diverges. It starts with chemistry and nuclear physics, diverges to topography, topology, then maps, then Morse, then doesn't come back to chemistry and nuclear physics by providing any clearer picture. Thereafter it jumps out to implications and speculations without reattaching to that missing clearer picture. The article looks like someones personal notes, and needs some mathematically minded person's eyes in order to be readable. ... said: Rursus (mbork³) 10:14, 22 August 2009 (UTC)[reply]__DTELLIPSISBUTTON__{"threadItem":{"timestamp":"2009-08-22T10:14:00.000Z","author":"Rursus","type":"comment","level":1,"id":"c-Rursus-2009-08-22T10:14:00.000Z-Problematic","replies":["c-Rursus-2009-08-22T10:16:00.000Z-Rursus-2009-08-22T10:14:00.000Z"]}}-->
Uh, eh... such as "low topological position" counterparts "low energy" (in general, potential, nuclear, or otherwise). An image might also be helpful. ... said: Rursus (mbork³) 10:16, 22 August 2009 (UTC)[reply]__DTELLIPSISBUTTON__{"threadItem":{"timestamp":"2009-08-22T10:16:00.000Z","author":"Rursus","type":"comment","level":2,"id":"c-Rursus-2009-08-22T10:16:00.000Z-Rursus-2009-08-22T10:14:00.000Z","replies":[]}}-->
Thank you for the feedback. I have started to do some work on this article. I also found that it jumps around a bit. In particular, I have removed the following two paragraphs:
There is a natural correspondence between potential energy surfaces as they exist (as polynomialsurfaces) and their application in potential theory, which associates and studies harmonic functions in relation to these surfaces.
AussieScientist (talk) 21:21, 4 March 2014 (UTC)[reply]__DTELLIPSISBUTTON__{"threadItem":{"timestamp":"2014-03-04T21:21:00.000Z","author":"AussieScientist","type":"comment","level":1,"id":"c-AussieScientist-2014-03-04T21:21:00.000Z-Problematic","replies":[]}}-->
__DTSUBSCRIBEBUTTONDESKTOP__{"headingLevel":2,"name":"h-128.196.213.182-2010-04-15T16:22:00.000Z","type":"heading","level":0,"id":"h-Imprecision_in_the_text-2010-04-15T16:22:00.000Z","replies":["c-128.196.213.182-2010-04-15T16:22:00.000Z-Imprecision_in_the_text"],"text":"Imprecision in the text","linkableTitle":"Imprecision in the text"}-->
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In the first sentence it is implied that the "adiabatic" approximation is equivalent to the "born-oppenheimer" approximation. This is not accurate.
To the best of my knowledge:
Adiabatic: neglection of the nuclear kinetic energy from the hamiltonian.
Born-Oppenheimer: complete neglection of the nuclear-electron motion coupling terms from the molecular hamiltonian. —Preceding unsigned comment added by 128.196.213.182 (talk) 16:22, 15 April 2010 (UTC)[reply]__DTELLIPSISBUTTON__{"threadItem":{"timestamp":"2010-04-15T16:22:00.000Z","author":"128.196.213.182","type":"comment","level":1,"id":"c-128.196.213.182-2010-04-15T16:22:00.000Z-Imprecision_in_the_text","replies":["c-AussieScientist-2014-03-04T21:21:00.000Z-128.196.213.182-2010-04-15T16:22:00.000Z"]}}-->
I have removed references to the Born-Oppenheimer approximation because I don't think this helps someone understand the concept of a PES. I felt it was not a core issue here. AussieScientist (talk) 21:21, 4 March 2014 (UTC)[reply]__DTELLIPSISBUTTON__{"threadItem":{"timestamp":"2014-03-04T21:21:00.000Z","author":"AussieScientist","type":"comment","level":2,"id":"c-AussieScientist-2014-03-04T21:21:00.000Z-128.196.213.182-2010-04-15T16:22:00.000Z","replies":[]}}-->
__DTSUBSCRIBEBUTTONDESKTOP__{"headingLevel":2,"name":"h-Evolution_and_evolvability-20230219084600","type":"heading","level":0,"id":"h-Merge_suggestion:_Energy_landscape_->_Potential_energy_surface-20230219084600","replies":["c-Evolution_and_evolvability-20230219084600-Merge_suggestion:_Energy_landscape_->_Potential_energy_surface"],"text":"Merge suggestion: Energy landscape -> Potential energy surface","linkableTitle":"Merge suggestion: Energy landscape -> Potential energy surface"}-->
__DTSUBSCRIBEBUTTONMOBILE__{"headingLevel":2,"name":"h-Evolution_and_evolvability-20230219084600","type":"heading","level":0,"id":"h-Merge_suggestion:_Energy_landscape_->_Potential_energy_surface-20230219084600","replies":["c-Evolution_and_evolvability-20230219084600-Merge_suggestion:_Energy_landscape_->_Potential_energy_surface"],"text":"Merge suggestion: Energy landscape -> Potential energy surface","linkableTitle":"Merge suggestion: Energy landscape -> Potential energy surface"}-->
The two concepts of Energy landscape -> Potential energy surface are very similar. The main difference seems to be the community using the term (landscape being mostly used by the biochem end of thing, and surface beig used by the physicists). Would it make sencce to merge them and then clarify the different use cases in an application section or is there a relevant distinction that I've missed? T.Shafee(Evo&Evo)talk08:46, 19 February 2023 (UTC)[reply]__DTELLIPSISBUTTON__{"threadItem":{"timestamp":"20230219084600","author":"Evolution and evolvability","type":"comment","level":1,"id":"c-Evolution_and_evolvability-20230219084600-Merge_suggestion:_Energy_landscape_->_Potential_energy_surface","replies":["c-ReyHahn-20230724081300-Evolution_and_evolvability-20230219084600"],"displayName":"T.Shafee(Evo&Evo)"}}-->
Go for it.--ReyHahn (talk) 08:13, 24 July 2023 (UTC)[reply]__DTELLIPSISBUTTON__{"threadItem":{"timestamp":"20230724081300","author":"ReyHahn","type":"comment","level":2,"id":"c-ReyHahn-20230724081300-Evolution_and_evolvability-20230219084600","replies":["c-Klbrain-20231112175300-ReyHahn-20230724081300"]}}-->
YMerger complete.Klbrain (talk) 17:53, 12 November 2023 (UTC)[reply]__DTELLIPSISBUTTON__{"threadItem":{"timestamp":"20231112175300","author":"Klbrain","type":"comment","level":3,"id":"c-Klbrain-20231112175300-ReyHahn-20230724081300","replies":[]}}-->