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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJun 2nd 2012
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   Author: Urs
   Format: MarkdownItexI happened to have need for a stub _[[Born-Oppenheimer approximation]]_

   I happened to have need for a stub Born-Oppenheimer approximation

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeJun 3rd 2012
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   Author: zskoda
   Format: MarkdownItexI think that in the abstract form (at least in the generality I was doing research when working on a project in physical chemistry) Born-Oppenheimer approximation is about the distinction between fast changing and slow changing degrees of freedom; there is perturbation theory associated to the decomposition of the Hilbert space into products (that is we have a tensor product decomposition of the Hilbert space). The fact that the motion of heavy particles and light particles in a system is a special case of that is not essential for general statement of the problem. One has to write a general form of Hamiltonian which corresponds to the interpretation which makes plausible the perturbation theory in which the slowliness of some degrees of freedom is capitalized on. I do not have my notes with me, but I think it is not to difficult to recnstruct he general framework.

   I think that in the abstract form (at least in the generality I was doing research when working on a project in physical chemistry) Born-Oppenheimer approximation is about the distinction between fast changing and slow changing degrees of freedom; there is perturbation theory associated to the decomposition of the Hilbert space into products (that is we have a tensor product decomposition of the Hilbert space). The fact that the motion of heavy particles and light particles in a system is a special case of that is not essential for general statement of the problem. One has to write a general form of Hamiltonian which corresponds to the interpretation which makes plausible the perturbation theory in which the slowliness of some degrees of freedom is capitalized on. I do not have my notes with me, but I think it is not to difficult to recnstruct he general framework.