Talk:Vague torus

From Wikipedia, the free encyclopedia
Jump to: navigation, search
WikiProject Physics (Rated Stub-class, Low-importance)
WikiProject icon This article is within the scope of WikiProject Physics, a collaborative effort to improve the coverage of Physics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.
Stub-Class article Stub  This article has been rated as Stub-Class on the project's quality scale.
 Low  This article has been rated as Low-importance on the project's importance scale.
 

Moved from article page[edit]

I moved the following text here from the article page. I don't think it is helpful as it is, but it might save as a basis for phrasing a more accessible example.

In classical mechanics (CM), at the molecular level, one can define a potential energy surface. This is a purely classical construct and does not hold for QM. In QM an adiabatic state (i.e. not resonant with other states) will remain occupied. For example in a diatomic, the classical interpretation of the stretch mode is a periodic vibration. Here CM agrees with QM and the system is perfectly adiabatic (all the energy remains in the vib mode). On multidimensional surfaces one can imagine a surface where a trajectory (i.e. a marble rolling on a surface w/o angular momentum) might have an almost periodic motion but just does not come back to exactly the same phase space location (i.e. after one vibrational phase the geometry and momenta of the atoms of the molecule are very similar but not exactly the same).
References:
This is a “Vague tori” as I understand it from Hase JPC 2009 jp806659f

— HHHIPPO 21:16, 28 January 2013 (UTC)